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32680845848 = 23737148710607
BaseRepresentation
bin11110011011111011…
…100010001000011000
310010100120202222112002
4132123323202020120
51013412244031343
623002515540132
72234601414650
oct363373421030
9103316688462
1032680845848
1112950538212
1264008ba648
13310a903411
1418204d3360
15cb41788b8
hex79bee2218

32680845848 has 64 divisors (see below), whose sum is σ = 71978250240. Its totient is φ = 13617085824.

The previous prime is 32680845829. The next prime is 32680845863. The reversal of 32680845848 is 84854808623.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 32680845793 and 32680845802.

It is a congruent number.

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, 3075761 + ... + 3086367.

It is an arithmetic number, because the mean of its divisors is an integer number (1124660160).

Almost surely, 232680845848 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 32680845848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35989125120).

32680845848 is an abundant number, since it is smaller than the sum of its proper divisors (39297404392).

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

32680845848 is a wasteful number, since it uses less digits than its factorization.

32680845848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 56.

The spelling of 32680845848 in words is "thirty-two billion, six hundred eighty million, eight hundred forty-five thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 1487 2072 2974 5948 10409 10607 11896 20818 21214 41636 42428 55019 74249 83272 84856 110038 148498 220076 296996 385133 392459 440152 593992 770266 784918 1540532 1569836 2747213 3081064 3139672 5494426 10988852 15772609 21977704 31545218 63090436 110408263 126180872 220816526 441633052 583586533 883266104 1167173066 2334346132 4085105731 4668692264 8170211462 16340422924 32680845848