Search a number
-
+
152127853632 = 2632264110857
BaseRepresentation
bin1000110110101110000…
…1101101010001000000
3112112200001101200022100
42031223201231101000
54443024212304012
6153515255510400
713663604264106
oct2155341552100
9475601350270
10152127853632
1159576231077
1225597388400
1311465370351
14751220bc76
153e557e98dc
hex236b86d440

152127853632 has 42 divisors (see below), whose sum is σ = 436047026558. Its totient is φ = 50709284352.

The previous prime is 152127853609. The next prime is 152127853643. The reversal of 152127853632 is 236358721251.

152127853632 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 2 + 7 + 8 + 5 + 3 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129237374016 + 22890479616 = 359496^2 + 151296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132054853 + ... + 132056004.

Almost surely, 2152127853632 is an apocalyptic number.

152127853632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152127853632 is an abundant number, since it is smaller than the sum of its proper divisors (283919172926).

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

152127853632 is a wasteful number, since it uses less digits than its factorization.

152127853632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264110875 (or 264110862 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 152127853632 in words is "one hundred fifty-two billion, one hundred twenty-seven million, eight hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 264110857 528221714 792332571 1056443428 1584665142 2112886856 2376997713 3169330284 4225773712 4753995426 6338660568 8451547424 9507990852 12677321136 16903094848 19015981704 25354642272 38031963408 50709284544 76063926816 152127853632