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157868974080 = 21336517311
BaseRepresentation
bin1001001100000110111…
…0010110000000000000
3120002111011022211000000
42103001232112000000
510041303424132310
6200305104000000
714256066065436
oct2230156260000
9502434284000
10157868974080
1160a51a13914
122671a000000
1311b6b907b3c
1478d88acd56
15418e8474c0
hex24c1b96000

157868974080 has 784 divisors, whose sum is σ = 603381433824. Its totient is φ = 39494615040.

The previous prime is 157868974079. The next prime is 157868974093. The reversal of 157868974080 is 80479868751.

157868974080 is a `hidden beast` number, since 15 + 78 + 68 + 97 + 408 + 0 = 666.

It is a super-2 number, since 2×1578689740802 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157868973999 and 157868974017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 507617125 + ... + 507617435.

Almost surely, 2157868974080 is an apocalyptic number.

157868974080 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 157868974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301690716912).

157868974080 is an abundant number, since it is smaller than the sum of its proper divisors (445512459744).

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

157868974080 is an frugal number, since it uses more digits than its factorization.

157868974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 157868974080 in words is "one hundred fifty-seven billion, eight hundred sixty-eight million, nine hundred seventy-four thousand, eighty".