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150540864264 = 23327323475639
BaseRepresentation
bin1000110000110011101…
…1110100101100001000
3112101120110012021011100
42030030323310230020
54431301430124024
6153054005101400
713606354143000
oct2141473645410
9471513167140
10150540864264
115893143650a
12252139b7860
131127164159b
147401543000
153db131a7c9
hex230cef4b08

150540864264 has 384 divisors, whose sum is σ = 506787840000. Its totient is φ = 40259108736.

The previous prime is 150540864251. The next prime is 150540864283. The reversal of 150540864264 is 462468045051.

It is a happy number.

150540864264 is a `hidden beast` number, since 1 + 5 + 0 + 540 + 8 + 6 + 42 + 64 = 666.

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 95 ways as a sum of consecutive naturals, for example, 26693557 + ... + 26699195.

It is an arithmetic number, because the mean of its divisors is an integer number (1319760000).

Almost surely, 2150540864264 is an apocalyptic number.

150540864264 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 150540864264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253393920000).

150540864264 is an abundant number, since it is smaller than the sum of its proper divisors (356246975736).

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

150540864264 is a wasteful number, since it uses less digits than its factorization.

150540864264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 150540864264 in words is "one hundred fifty billion, five hundred forty million, eight hundred sixty-four thousand, two hundred sixty-four".