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132252200431632 = 2433642147677831
BaseRepresentation
bin11110000100100001011101…
…011011010111000000010000
3122100021012001020110111121000
4132010201131123113000100
5114313310001302303012
61145135453325302000
736566622546414051
oct3604413533270020
9570235036414530
10132252200431632
11391599303770a6
12129bb442404900
1358a4437a2b398
14249307d7b0728
1510452b3644ddc
hex78485d6d7010

132252200431632 has 80 divisors (see below), whose sum is σ = 379671926008960. Its totient is φ = 44077200278400.

The previous prime is 132252200431607. The next prime is 132252200431657. The reversal of 132252200431632 is 236134002252231.

132252200431632 is a `hidden beast` number, since 1 + 3 + 2 + 252 + 200 + 43 + 163 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (132252200431607) and next prime (132252200431657).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21065044 + ... + 26612787.

It is an arithmetic number, because the mean of its divisors is an integer number (4745899075112).

Almost surely, 2132252200431632 is an apocalyptic number.

132252200431632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132252200431632 is an abundant number, since it is smaller than the sum of its proper divisors (247419725577328).

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

132252200431632 is a wasteful number, since it uses less digits than its factorization.

132252200431632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47684269 (or 47684257 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 132252200431632 its reverse (236134002252231), we get a palindrome (368386202683863).

The spelling of 132252200431632 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, two hundred million, four hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 6421 12842 19263 25684 38526 51368 57789 77052 102736 115578 154104 173367 231156 308208 346734 462312 693468 924624 1386936 2773872 47677831 95355662 143033493 190711324 286066986 381422648 429100479 572133972 762845296 858200958 1144267944 1287301437 1716401916 2288535888 2574602874 3432803832 5149205748 6865607664 10298411496 20596822992 306139352851 612278705702 918418058553 1224557411404 1836836117106 2449114822808 2755254175659 3673672234212 4898229645616 5510508351318 7347344468424 8265762526977 11021016702636 14694688936848 16531525053954 22042033405272 33063050107908 44084066810544 66126100215816 132252200431632