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150655714560 = 28335132931373
BaseRepresentation
bin1000110001001111000…
…1111100010100000000
3112101212110022021011000
42030103301330110000
54432020330331220
6153113230452000
713612250305341
oct2142361742400
9471773267130
10150655714560
115899025020a
1225246364000
131128c384540
1474128bc0c8
153dbb455390
hex2313c7c500

150655714560 has 1152 divisors, whose sum is σ = 616457318400. Its totient is φ = 34557788160.

The previous prime is 150655714541. The next prime is 150655714577. The reversal of 150655714560 is 65417556051.

It is a happy number.

150655714560 is a `hidden beast` number, since 1 + 50 + 6 + 557 + 1 + 45 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 403902534 + ... + 403902906.

It is an arithmetic number, because the mean of its divisors is an integer number (535119200).

Almost surely, 2150655714560 is an apocalyptic number.

150655714560 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 150655714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308228659200).

150655714560 is an abundant number, since it is smaller than the sum of its proper divisors (465801603840).

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

150655714560 is a wasteful number, since it uses less digits than its factorization.

150655714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 150655714560 in words is "one hundred fifty billion, six hundred fifty-five million, seven hundred fourteen thousand, five hundred sixty".