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132256322655024 = 24376919373184949
BaseRepresentation
bin11110000100100101010011…
…001000011001001100110000
3122100021120200112011011000110
4132010211103020121030300
5114313341422044430044
61145141414343021320
736600126652632051
oct3604452310311460
9570246615134013
10132256322655024
1139160656250597
1212a001b2a3a840
1358a4943a74a19
14249335105c728
1510454554ae6b9
hex784953219330

132256322655024 has 80 divisors (see below), whose sum is σ = 342125969724000. Its totient is φ = 44025601916928.

The previous prime is 132256322655011. The next prime is 132256322655053. The reversal of 132256322655024 is 420556223652231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715003702 + ... + 715188650.

It is an arithmetic number, because the mean of its divisors is an integer number (4276574621550).

Almost surely, 2132256322655024 is an apocalyptic number.

It is an amenable number.

132256322655024 is an abundant number, since it is smaller than the sum of its proper divisors (209869647068976).

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

132256322655024 is a wasteful number, since it uses less digits than its factorization.

132256322655024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205102 (or 205096 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 132256322655024 in words is "one hundred thirty-two trillion, two hundred fifty-six billion, three hundred twenty-two million, six hundred fifty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 769 1538 2307 3076 4614 6152 9228 12304 18456 19373 36912 38746 58119 77492 116238 154984 184949 232476 309968 369898 464952 554847 739796 929904 1109694 1479592 2219388 2959184 4438776 8877552 14897837 29795674 44693511 59591348 89387022 119182696 142225781 178774044 238365392 284451562 357548088 426677343 568903124 715096176 853354686 1137806248 1706709372 2275612496 3413418744 3583016977 6826837488 7166033954 10749050931 14332067908 21498101862 28664135816 42996203724 57328271632 85992407448 171984814896 2755340055313 5510680110626 8266020165939 11021360221252 16532040331878 22042720442504 33064080663756 44085440885008 66128161327512 132256322655024