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148503918080 = 295771116719
BaseRepresentation
bin1000101001001110000…
…1011111011000000000
3112012022111022200022002
42022103201133120000
54413114000334310
6152115522203132
713505031322250
oct2122341373000
9465274280262
10148503918080
1157a86654711
12249457b34a8
131100862c69b
14728abcb960
153ce25aada5
hex229385f600

148503918080 has 160 divisors (see below), whose sum is σ = 412662159360. Its totient is φ = 50198077440.

The previous prime is 148503918071. The next prime is 148503918083. The reversal of 148503918080 is 80819305841.

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

It is a super-2 number, since 2×1485039180802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) 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 (148503918083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213961 + ... + 1330679.

It is an arithmetic number, because the mean of its divisors is an integer number (2579138496).

Almost surely, 2148503918080 is an apocalyptic number.

148503918080 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 148503918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206331079680).

148503918080 is an abundant number, since it is smaller than the sum of its proper divisors (264158241280).

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

148503918080 is an equidigital number, since it uses as much as digits as its factorization.

148503918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116820 (or 116804 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The spelling of 148503918080 in words is "one hundred forty-eight billion, five hundred three million, nine hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 128 140 142 160 224 256 280 284 320 355 448 497 512 560 568 640 710 896 994 1120 1136 1280 1420 1792 1988 2240 2272 2485 2560 2840 3584 3976 4480 4544 4970 5680 7952 8960 9088 9940 11360 15904 17920 18176 19880 22720 31808 36352 39760 45440 63616 79520 90880 116719 127232 159040 181760 233438 254464 318080 466876 583595 636160 817033 933752 1167190 1272320 1634066 1867504 2334380 3268132 3735008 4085165 4668760 6536264 7470016 8170330 8287049 9337520 13072528 14940032 16340660 16574098 18675040 26145056 29880064 32681320 33148196 37350080 41435245 52290112 58009343 59760128 65362640 66296392 74700160 82870490 104580224 116018686 130725280 132592784 149400320 165740980 209160448 232037372 261450560 265185568 290046715 298800640 331481960 418320896 464074744 522901120 530371136 580093430 662963920 928149488 1045802240 1060742272 1160186860 1325927840 1856298976 2091604480 2121484544 2320373720 2651855680 3712597952 4242969088 4640747440 5303711360 7425195904 9281494880 10607422720 14850391808 18562989760 21214845440 29700783616 37125979520 74251959040 148503918080