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32923870164 = 22321069855521
BaseRepresentation
bin11110101010011010…
…100110001111010100
310010222112001220012200
4132222122212033110
51014412002321124
623043000444500
72243612164443
oct365232461724
9103875056180
1032923870164
1112a65736a59
12646a179730
1331490729a3
1418448b4d5a
15cca680bc9
hex7aa6a63d4

32923870164 has 36 divisors (see below), whose sum is σ = 83302177140. Its totient is φ = 10964344320.

The previous prime is 32923870139. The next prime is 32923870223. The reversal of 32923870164 is 46107832923.

It can be written as a sum of positive squares in 2 ways, for example, as 22952250000 + 9971620164 = 151500^2 + 99858^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 389277 + ... + 466244.

It is an arithmetic number, because the mean of its divisors is an integer number (2313949365).

Almost surely, 232923870164 is an apocalyptic number.

It is an amenable number.

32923870164 is an abundant number, since it is smaller than the sum of its proper divisors (50378306976).

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

32923870164 is a wasteful number, since it uses less digits than its factorization.

32923870164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856600 (or 856595 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 32923870164 in words is "thirty-two billion, nine hundred twenty-three million, eight hundred seventy thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1069 2138 3207 4276 6414 9621 12828 19242 38484 855521 1711042 2566563 3422084 5133126 7699689 10266252 15399378 30798756 914551949 1829103898 2743655847 3658207796 5487311694 8230967541 10974623388 16461935082 32923870164