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151057453320 = 2332519199110977
BaseRepresentation
bin1000110010101110111…
…0011101000100001000
3112102220110020201010100
42030223232131010020
54433331202001240
6153221141245400
713625226111354
oct2145356350410
9472813221110
10151057453320
1159076aa3514
1225338a03860
1311324684397
14744ddb6464
153de185de30
hex232bb9d108

151057453320 has 192 divisors, whose sum is σ = 519377040000. Its totient is φ = 37969772544.

The previous prime is 151057453319. The next prime is 151057453357. The reversal of 151057453320 is 23354750151.

151057453320 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 574 + 53 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305672 + ... + 1416648.

It is an arithmetic number, because the mean of its divisors is an integer number (2705088750).

Almost surely, 2151057453320 is an apocalyptic number.

151057453320 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 151057453320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259688520000).

151057453320 is an abundant number, since it is smaller than the sum of its proper divisors (368319586680).

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

151057453320 is a wasteful number, since it uses less digits than its factorization.

151057453320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111212 (or 111205 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 151057453320 in words is "one hundred fifty-one billion, fifty-seven million, four hundred fifty-three thousand, three hundred twenty".