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151931437056 = 2143271961127
BaseRepresentation
bin1000110101111111010…
…0011100000000000000
3112112011100210200102100
42031133310130000000
54442123421441211
6153444001550400
713656000623040
oct2153764340000
9475140720370
10151931437056
1159485376423
1225541645400
131143376c119
1474d40bd720
153e4344c156
hex235fd1c000

151931437056 has 720 divisors, whose sum is σ = 540880936960. Its totient is φ = 40131624960.

The previous prime is 151931437033. The next prime is 151931437067. The reversal of 151931437056 is 650734139151.

151931437056 is a `hidden beast` number, since 1 + 519 + 3 + 14 + 3 + 70 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196310465 + ... + 1196310591.

Almost surely, 2151931437056 is an apocalyptic number.

151931437056 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 151931437056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270440468480).

151931437056 is an abundant number, since it is smaller than the sum of its proper divisors (388949499904).

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

151931437056 is a wasteful number, since it uses less digits than its factorization.

151931437056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 151931437056 in words is "one hundred fifty-one billion, nine hundred thirty-one million, four hundred thirty-seven thousand, fifty-six".