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157458745856 = 291741441229
BaseRepresentation
bin1001001010100101000…
…1011100101000000000
3120001102120102001200002
42102221101130220000
510034433414331411
6200200251215132
714242655153666
oct2225121345000
9501376361602
10157458745856
11608613a2325
12266247474a8
1311b04924b49
14789a204c36
15416881333b
hex24a945ca00

157458745856 has 80 divisors (see below), whose sum is σ = 341241987240. Its totient is φ = 72290795520.

The previous prime is 157458745819. The next prime is 157458745861. The reversal of 157458745856 is 658547854751.

It can be written as a sum of positive squares in 4 ways, for example, as 68845363456 + 88613382400 = 262384^2 + 297680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157458745792 and 157458745801.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 136250 + ... + 577478.

Almost surely, 2157458745856 is an apocalyptic number.

157458745856 is a gapful number since it is divisible by the number (16) 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 157458745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170620993620).

157458745856 is an abundant number, since it is smaller than the sum of its proper divisors (183783241384).

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

157458745856 is an equidigital number, since it uses as much as digits as its factorization.

157458745856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441305 (or 441289 counting only the distinct ones).

The product of its digits is 188160000, while the sum is 65.

The spelling of 157458745856 in words is "one hundred fifty-seven billion, four hundred fifty-eight million, seven hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 256 272 328 512 544 656 697 1088 1312 1394 2176 2624 2788 4352 5248 5576 8704 10496 11152 20992 22304 44608 89216 178432 356864 441229 882458 1764916 3529832 7059664 7500893 14119328 15001786 18090389 28238656 30003572 36180778 56477312 60007144 72361556 112954624 120014288 144723112 225909248 240028576 289446224 307536613 480057152 578892448 615073226 960114304 1157784896 1230146452 1920228608 2315569792 2460292904 3840457216 4631139584 4920585808 9262279168 9841171616 19682343232 39364686464 78729372928 157458745856