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157915162080 = 253251319538377
BaseRepresentation
bin1001001100010001111…
…0100010010111100000
3120002121101020102000200
42103010132202113200
510041402240141310
6200313433545200
714260166505354
oct2230436422740
9502541212020
10157915162080
1160a75aa0615
1226731575200
1311b7835a110
147900a93464
15419391c9c0
hex24c47a25e0

157915162080 has 576 divisors, whose sum is σ = 622482719040. Its totient is φ = 36126425088.

The previous prime is 157915162073. The next prime is 157915162187. The reversal of 157915162080 is 80261519751.

157915162080 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 15 + 1 + 620 + 8 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 18846852 + ... + 18855228.

It is an arithmetic number, because the mean of its divisors is an integer number (1080699165).

Almost surely, 2157915162080 is an apocalyptic number.

157915162080 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 157915162080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311241359520).

157915162080 is an abundant number, since it is smaller than the sum of its proper divisors (464567556960).

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

157915162080 is a wasteful number, since it uses less digits than its factorization.

157915162080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 157915162080 in words is "one hundred fifty-seven billion, nine hundred fifteen million, one hundred sixty-two thousand, eighty".