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148933726720 = 295414332999
BaseRepresentation
bin1000101010110100100…
…1000101001000000000
3112020102110002012220121
42022231021011020000
54420004013223340
6152230314350024
713521500534542
oct2125511051000
9466373065817
10148933726720
115818722a269
1224a4572b314
13110766a9b1c
1472cbd11692
153d1a1ab94a
hex22ad245200

148933726720 has 160 divisors (see below), whose sum is σ = 374319792000. Its totient is φ = 56767119360.

The previous prime is 148933726717. The next prime is 148933726723. The reversal of 148933726720 is 27627339841.

148933726720 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 (148933726717) and next prime (148933726723).

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

It is not an unprimeable number, because it can be changed into a prime (148933726723) 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, 4496781 + ... + 4529779.

It is an arithmetic number, because the mean of its divisors is an integer number (2339498700).

Almost surely, 2148933726720 is an apocalyptic number.

148933726720 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 148933726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187159896000).

148933726720 is an abundant number, since it is smaller than the sum of its proper divisors (225386065280).

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

148933726720 is an equidigital number, since it uses as much as digits as its factorization.

148933726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33106 (or 33090 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 148933726720 in words is "one hundred forty-eight billion, nine hundred thirty-three million, seven hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 43 64 80 82 86 128 160 164 172 205 215 256 320 328 344 410 430 512 640 656 688 820 860 1280 1312 1376 1640 1720 1763 2560 2624 2752 3280 3440 3526 5248 5504 6560 6880 7052 8815 10496 11008 13120 13760 14104 17630 20992 22016 26240 27520 28208 32999 35260 52480 55040 56416 65998 70520 104960 110080 112832 131996 141040 164995 225664 263992 282080 329990 451328 527984 564160 659980 902656 1055968 1128320 1319960 1352959 1418957 2111936 2256640 2639920 2705918 2837914 4223872 4513280 5279840 5411836 5675828 6764795 7094785 8447744 10559680 10823672 11351656 13529590 14189570 16895488 21119360 21647344 22703312 27059180 28379140 42238720 43294688 45406624 54118360 56758280 58177237 84477440 86589376 90813248 108236720 113516560 116354474 173178752 181626496 216473440 227033120 232708948 290886185 346357504 363252992 432946880 454066240 465417896 581772370 692715008 726505984 865893760 908132480 930835792 1163544740 1731787520 1816264960 1861671584 2327089480 3463575040 3632529920 3723343168 4654178960 7446686336 9308357920 14893372672 18616715840 29786745344 37233431680 74466863360 148933726720