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32132442132 = 22327268947419
BaseRepresentation
bin11101111011001111…
…100010100000010100
310001221100212012001100
4131323033202200110
51011301401122012
622432245430100
72215162152210
oct357317424024
9101840765040
1032132442132
1112699a203aa
12628910b330
13305110168b
1417ab73b940
15c80e4d8dc
hex77b3e2814

32132442132 has 72 divisors (see below), whose sum is σ = 92863534400. Its totient is φ = 9177090048.

The previous prime is 32132442127. The next prime is 32132442137. The reversal of 32132442132 is 23124423123.

32132442132 is a `hidden beast` number, since 3 + 213 + 2 + 442 + 1 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (32132442127) and next prime (32132442137).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32132442096 and 32132442105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32132442137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653919 + ... + 701337.

Almost surely, 232132442132 is an apocalyptic number.

It is an amenable number.

32132442132 is an abundant number, since it is smaller than the sum of its proper divisors (60731092268).

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

32132442132 is a wasteful number, since it uses less digits than its factorization.

32132442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50125 (or 50120 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 32132442132 its reverse (23124423123), we get a palindrome (55256865255).

The spelling of 32132442132 in words is "thirty-two billion, one hundred thirty-two million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2689 5378 8067 10756 16134 18823 24201 32268 37646 47419 48402 56469 75292 94838 96804 112938 142257 169407 189676 225876 284514 331933 338814 426771 569028 663866 677628 853542 995799 1327732 1707084 1991598 2987397 3983196 5974794 11949588 127509691 255019382 382529073 510038764 765058146 892567837 1147587219 1530116292 1785135674 2295174438 2677703511 3570271348 4590348876 5355407022 8033110533 10710814044 16066221066 32132442132