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148224366080 = 295713196271
BaseRepresentation
bin1000101000001011011…
…1000101011000000000
3112011121000021222001022
42022002313011120000
54412030414203310
6152032054325012
713465065215660
oct2120267053000
9464530258038
10148224366080
11579528770aa
1224888059768
1310c92740bbb
147261a1c1a0
153cc7c8aa55
hex2282dc5600

148224366080 has 160 divisors (see below), whose sum is σ = 406533980160. Its totient is φ = 50773155840.

The previous prime is 148224366071. The next prime is 148224366089. The reversal of 148224366080 is 80663422841.

148224366080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148224366071) and next prime (148224366089).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148224366089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23633345 + ... + 23639615.

It is an arithmetic number, because the mean of its divisors is an integer number (2540837376).

Almost surely, 2148224366080 is an apocalyptic number.

148224366080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148224366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203266990080).

148224366080 is an abundant number, since it is smaller than the sum of its proper divisors (258309614080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148224366080 is an equidigital number, since it uses as much as digits as its factorization.

148224366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 148224366080 in words is "one hundred forty-eight billion, two hundred twenty-four million, three hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1319 1792 2240 2560 2638 3584 4480 5276 6271 6595 8960 9233 10552 12542 13190 17920 18466 21104 25084 26380 31355 36932 42208 43897 46165 50168 52760 62710 73864 84416 87794 92330 100336 105520 125420 147728 168832 175588 184660 200672 211040 219485 250840 295456 337664 351176 369320 401344 422080 438970 501680 590912 675328 702352 738640 802688 844160 877940 1003360 1181824 1404704 1477280 1605376 1688320 1755880 2006720 2363648 2809408 2954560 3210752 3376640 3511760 4013440 4727296 5618816 5909120 7023520 8026880 8271449 11237632 11818240 14047040 16053760 16542898 22475264 23636480 28094080 33085796 41357245 56188160 57900143 66171592 82714490 112376320 115800286 132343184 165428980 231600572 264686368 289500715 330857960 463201144 529372736 579001430 661715920 926402288 1058745472 1158002860 1323431840 1852804576 2117490944 2316005720 2646863680 3705609152 4234981888 4632011440 5293727360 7411218304 9264022880 10587454720 14822436608 18528045760 21174909440 29644873216 37056091520 74112183040 148224366080