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132714116652 = 223131922356597
BaseRepresentation
bin111101110011001100…
…0001011011000101100
3110200120002000122201210
41323212120023120230
54133244303213102
6140545032034420
712405531243615
oct1734630133054
9420502018653
10132714116652
1151313728147
1221879832a10
13c690291810
1465cdb34c0c
1536bb28636c
hex1ee660b62c

132714116652 has 72 divisors (see below), whose sum is σ = 351962624496. Its totient is φ = 38685879936.

The previous prime is 132714116611. The next prime is 132714116659. The reversal of 132714116652 is 256611417231.

It is a super-2 number, since 2×1327141166522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 132714116652.

It is not an unprimeable number, because it can be changed into a prime (132714116659) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1121983 + ... + 1234614.

Almost surely, 2132714116652 is an apocalyptic number.

132714116652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132714116652 is an abundant number, since it is smaller than the sum of its proper divisors (219248507844).

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

132714116652 is a wasteful number, since it uses less digits than its factorization.

132714116652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356655 (or 2356634 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The spelling of 132714116652 in words is "one hundred thirty-two billion, seven hundred fourteen million, one hundred sixteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2964 4332 4693 9386 14079 18772 28158 56316 2356597 4713194 7069791 9426388 14139582 28279164 30635761 44775343 61271522 89550686 91907283 122543044 134326029 179101372 183814566 268652058 367629132 537304116 582079459 850731517 1164158918 1701463034 1746238377 2328317836 2552194551 3402926068 3492476754 5104389102 6984953508 10208778204 11059509721 22119019442 33178529163 44238038884 66357058326 132714116652