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152680870944 = 25347137239257
BaseRepresentation
bin1000111000110001111…
…1010011010000100000
3112121002120222212110000
42032030133103100200
510000142300332234
6154050212540000
714013400663350
oct2161437232040
9477076885400
10152680870944
115982a40a178
1225710621600
1311522ac9024
147565844b60
153e89136899
hex238c7d3420

152680870944 has 480 divisors, whose sum is σ = 521105840640. Its totient is φ = 42955702272.

The previous prime is 152680870933. The next prime is 152680870973. The reversal of 152680870944 is 449078086251.

It is a happy number.

152680870944 is a `hidden beast` number, since 1 + 526 + 8 + 0 + 8 + 70 + 9 + 44 = 666.

It is a super-2 number, since 2×1526808709442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 594088864 + ... + 594089120.

It is an arithmetic number, because the mean of its divisors is an integer number (1085637168).

Almost surely, 2152680870944 is an apocalyptic number.

152680870944 is a gapful number since it is divisible by the number (14) 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 152680870944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260552920320).

152680870944 is an abundant number, since it is smaller than the sum of its proper divisors (368424969696).

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

152680870944 is a wasteful number, since it uses less digits than its factorization.

152680870944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 152680870944 in words is "one hundred fifty-two billion, six hundred eighty million, eight hundred seventy thousand, nine hundred forty-four".