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132936544260 = 223251356810489
BaseRepresentation
bin111101111001110100…
…0101011000000000100
3110201010120120011001100
41323303220223000010
54134223223404020
6141023055300100
712414201660612
oct1736350530004
9421116504040
10132936544260
1151418239313
122192021a630
13c6c739c1a0
1466114b46b2
1536d0a70a90
hex1ef3a2b004

132936544260 has 72 divisors (see below), whose sum is σ = 434259385560. Its totient is φ = 32722841088.

The previous prime is 132936544259. The next prime is 132936544277. The reversal of 132936544260 is 62445639231.

132936544260 is a `hidden beast` number, since 1 + 3 + 2 + 93 + 65 + 442 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89415936 + 132847128324 = 9456^2 + 364482^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 28402905 + ... + 28407584.

It is an arithmetic number, because the mean of its divisors is an integer number (6031380355).

Almost surely, 2132936544260 is an apocalyptic number.

132936544260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132936544260 is an abundant number, since it is smaller than the sum of its proper divisors (301322841300).

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

132936544260 is a wasteful number, since it uses less digits than its factorization.

132936544260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56810517 (or 56810512 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 132936544260 in words is "one hundred thirty-two billion, nine hundred thirty-six million, five hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 56810489 113620978 170431467 227241956 284052445 340862934 511294401 568104890 681725868 738536357 852157335 1022588802 1136209780 1477072714 1704314670 2045177604 2215609071 2556472005 2954145428 3408629340 3692681785 4431218142 5112944010 6646827213 7385363570 8862436284 10225888020 11078045355 13293654426 14770727140 22156090710 26587308852 33234136065 44312181420 66468272130 132936544260