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157034326680 = 2332571171731093
BaseRepresentation
bin1001001000111111111…
…0011010101010011000
3120000022222210100000100
42102033332122222120
510033101241423210
6200050210335400
714226312516210
oct2221776325230
9500288710010
10157034326680
1160663868980
122652658a560
1311a67a1383a
147859ac5240
1541414295c0
hex248ff9aa98

157034326680 has 768 divisors, whose sum is σ = 654694410240. Its totient is φ = 31701196800.

The previous prime is 157034326679. The next prime is 157034326699. The reversal of 157034326680 is 86623430751.

157034326680 is a `hidden beast` number, since 15 + 70 + 3 + 432 + 66 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143672214 + ... + 143673306.

It is an arithmetic number, because the mean of its divisors is an integer number (852466680).

Almost surely, 2157034326680 is an apocalyptic number.

157034326680 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 157034326680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327347205120).

157034326680 is an abundant number, since it is smaller than the sum of its proper divisors (497660083560).

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

157034326680 is a wasteful number, since it uses less digits than its factorization.

157034326680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 157034326680 in words is "one hundred fifty-seven billion, thirty-four million, three hundred twenty-six thousand, six hundred eighty".