Search a number
-
+
132150661531515 = 325112130671252991
BaseRepresentation
bin11110000011000010111001…
…001111001100011101111011
3122022220110221211002221020200
4132003002321033030131323
5114310124023323002030
61145021101550253243
736556366405123224
oct3603027117143573
9568813854087220
10132150661531515
113911a865301620
12129a38251b7223
1358979a5459673
14248c1aa20224b
15104281e279d60
hex7830b93cc77b

132150661531515 has 48 divisors (see below), whose sum is σ = 249886259490816. Its totient is φ = 64072696161600.

The previous prime is 132150661531481. The next prime is 132150661531529. The reversal of 132150661531515 is 515135166051231.

132150661531515 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 0 + 6 + 61 + 531 + 51 + 5 = 666.

It is not a de Polignac number, because 132150661531515 - 27 = 132150661531387 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104841670 + ... + 106094660.

It is an arithmetic number, because the mean of its divisors is an integer number (5205963739392).

Almost surely, 2132150661531515 is an apocalyptic number.

132150661531515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132150661531515 is a deficient number, since it is larger than the sum of its proper divisors (117735597959301).

132150661531515 is a wasteful number, since it uses less digits than its factorization.

132150661531515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466080 (or 1466077 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 132150661531515 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred sixty-one million, five hundred thirty-one thousand, five hundred fifteen".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 213067 639201 1065335 1252991 1917603 2343737 3196005 3758973 6264955 7031211 9588015 11276919 11718685 13782901 18794865 21093633 35156055 41348703 56384595 68914505 105468165 124046109 206743515 620230545 266971033397 800913100191 1334855166985 2402739300573 2936681367367 4004565500955 8810044102101 12013696502865 14683406836835 26430132306303 44050220510505 132150661531515