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152312404860 = 22365711135671
BaseRepresentation
bin1000110111011010000…
…1101101101101111100
3112120010220122212000000
42031312201231231330
54443413433423420
6153545451234300
714001305036250
oct2156641555574
9476126585000
10152312404860
1159660422150
1225629148990
1311494678965
14752c92c260
153e66b01690
hex237686db7c

152312404860 has 336 divisors, whose sum is σ = 597903247872. Its totient is φ = 31649097600.

The previous prime is 152312404813. The next prime is 152312404889. The reversal of 152312404860 is 68404213251.

It is a happy number.

152312404860 is a `hidden beast` number, since 1 + 52 + 3 + 124 + 0 + 486 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1054825 + ... + 1190495.

It is an arithmetic number, because the mean of its divisors is an integer number (1779473952).

Almost surely, 2152312404860 is an apocalyptic number.

152312404860 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 152312404860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298951623936).

152312404860 is an abundant number, since it is smaller than the sum of its proper divisors (445590843012).

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

152312404860 is a wasteful number, since it uses less digits than its factorization.

152312404860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135716 (or 135699 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 152312404860 in words is "one hundred fifty-two billion, three hundred twelve million, four hundred four thousand, eight hundred sixty".