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32640585012 = 2233726167911
BaseRepresentation
bin11110011001100001…
…111100110100110100
310010020210000112001000
4132121201330310310
51013321442210022
622554521003300
72233602252300
oct363141746464
9103223015030
1032640585012
111292a8396a2
1263ab323530
133102477c39
141819012d00
15cb08746ac
hex79987cd34

32640585012 has 72 divisors (see below), whose sum is σ = 98439875520. Its totient is φ = 9325879920.

The previous prime is 32640584983. The next prime is 32640585017. The reversal of 32640585012 is 21058504623.

32640585012 is a `hidden beast` number, since 3 + 2 + 64 + 0 + 585 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32640585017) 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, 3078664 + ... + 3089247.

Almost surely, 232640585012 is an apocalyptic number.

It is an amenable number.

32640585012 is an abundant number, since it is smaller than the sum of its proper divisors (65799290508).

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

32640585012 is a wasteful number, since it uses less digits than its factorization.

32640585012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167938 (or 6167923 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 32640585012 in words is "thirty-two billion, six hundred forty million, five hundred eighty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 6167911 12335822 18503733 24671644 37007466 43175377 55511199 74014932 86350754 111022398 129526131 166533597 172701508 222044796 259052262 302227639 333067194 388578393 518104524 604455278 666134388 777156786 906682917 1165735179 1208910556 1554313572 1813365834 2331470358 2720048751 3626731668 4662940716 5440097502 8160146253 10880195004 16320292506 32640585012