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32606012128 = 2553145913177
BaseRepresentation
bin11110010111011110…
…000100001011100000
310010011100222000221211
4132113132010023200
51013234114342003
622551243555504
72233002346564
oct362736041340
9103140860854
1032606012128
1112912275568
12639b82bb94
1330c8261701
1418145b36a4
15cac7e596d
hex7977842e0

32606012128 has 48 divisors (see below), whose sum is σ = 65454071760. Its totient is φ = 15983225856.

The previous prime is 32606012059. The next prime is 32606012141. The reversal of 32606012128 is 82121060623.

It is a self number, because there is not a number n which added to its sum of digits gives 32606012128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2467876 + ... + 2481052.

It is an arithmetic number, because the mean of its divisors is an integer number (1363626495).

Almost surely, 232606012128 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 32606012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32727035880).

32606012128 is an abundant number, since it is smaller than the sum of its proper divisors (32848059632).

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

32606012128 is a wasteful number, since it uses less digits than its factorization.

32606012128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14699 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 32606012128 in words is "thirty-two billion, six hundred six million, twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1459 1696 2918 5836 11672 13177 23344 26354 46688 52708 77327 105416 154654 210832 309308 421664 618616 698381 1237232 1396762 2474464 2793524 5587048 11174096 19225243 22348192 38450486 76900972 153801944 307603888 615207776 1018937879 2037875758 4075751516 8151503032 16303006064 32606012128