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32143602652 = 22717731934793
BaseRepresentation
bin11101111011111010…
…000111001111011100
310001222010212012101221
4131323322013033130
51011312230241102
622433324543124
72215356054160
oct357372071734
9101863765357
1032143602652
11126a5253477
1262909b1aa4
13305350b535
1417ad004ca0
15c81e05637
hex77be873dc

32143602652 has 96 divisors (see below), whose sum is σ = 69373245312. Its totient is φ = 12718964736.

The previous prime is 32143602641. The next prime is 32143602653. The reversal of 32143602652 is 25620634123.

It is a super-3 number, since 3×321436026523 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32143602653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6703968 + ... + 6708760.

It is an arithmetic number, because the mean of its divisors is an integer number (722637972).

Almost surely, 232143602652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32143602652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34686622656).

32143602652 is an abundant number, since it is smaller than the sum of its proper divisors (37229642660).

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

32143602652 is a wasteful number, since it uses less digits than its factorization.

32143602652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 32143602652 in words is "thirty-two billion, one hundred forty-three million, six hundred two thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 73 119 146 193 238 292 386 476 511 772 1022 1241 1351 2044 2482 2702 3281 4793 4964 5404 6562 8687 9586 13124 14089 17374 19172 22967 28178 33551 34748 45934 56356 67102 81481 91868 98623 134204 162962 197246 239513 325924 349889 394492 479026 570367 699778 925049 958052 1140734 1399556 1676591 1850098 2281468 2449223 3353182 3700196 4898446 5948113 6475343 6706364 9796892 11896226 12950686 15725833 23792452 25901372 31451666 41636791 62903332 67528577 83273582 110080831 135057154 166547164 220161662 270114308 440323324 472700039 945400078 1147985809 1890800156 2295971618 4591943236 8035900663 16071801326 32143602652