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152051332264 = 231328122812
BaseRepresentation
bin1000110110011011110…
…1110011010010101000
3112112110201101222201121
42031212331303102220
54442400120113024
6153503523425024
713661654666536
oct2154675632250
9475421358647
10152051332264
1159537016477
1225575825174
131145255a430
147505dad156
153e4dc318e4
hex2366f734a8

152051332264 has 48 divisors (see below), whose sum is σ = 308254490460. Its totient is φ = 69897139200.

The previous prime is 152051332253. The next prime is 152051332271. The reversal of 152051332264 is 462233150251.

It can be written as a sum of positive squares in 6 ways, for example, as 75520536100 + 76530796164 = 274810^2 + 276642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66658804 + ... + 66661084.

Almost surely, 2152051332264 is an apocalyptic number.

It is an amenable number.

152051332264 is an abundant number, since it is smaller than the sum of its proper divisors (156203158196).

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

152051332264 is an equidigital number, since it uses as much as digits as its factorization.

152051332264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 152051332264 in words is "one hundred fifty-two billion, fifty-one million, three hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 281 562 1124 2248 2281 3653 4562 7306 9124 14612 18248 29224 29653 59306 118612 237224 640961 1281922 2563844 5127688 5202961 8332493 10405922 16664986 20811844 33329972 41623688 66659944 67638493 135276986 270553972 541107944 1462032041 2924064082 5848128164 11696256328 19006416533 38012833066 76025666132 152051332264