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152423134920 = 2332571731114773
BaseRepresentation
bin1000110111110100100…
…0000111011011001000
3112120102122000112002100
42031331020013123020
54444130310304140
6154004444433400
714004121161360
oct2157510073310
9476378015070
10152423134920
11597079822a1
122565a248860
13114b15a83c4
14753d5139a0
153e716c5530
hex237d2076c8

152423134920 has 384 divisors, whose sum is σ = 618787952640. Its totient is φ = 31732162560.

The previous prime is 152423134879. The next prime is 152423134931. The reversal of 152423134920 is 29431324251.

152423134920 is a `hidden beast` number, since 15 + 2 + 423 + 134 + 92 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1270654 + ... + 1385426.

It is an arithmetic number, because the mean of its divisors is an integer number (1611426960).

Almost surely, 2152423134920 is an apocalyptic number.

152423134920 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 152423134920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309393976320).

152423134920 is an abundant number, since it is smaller than the sum of its proper divisors (466364817720).

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

152423134920 is a wasteful number, since it uses less digits than its factorization.

152423134920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114845 (or 114838 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 152423134920 in words is "one hundred fifty-two billion, four hundred twenty-three million, one hundred thirty-four thousand, nine hundred twenty".