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32919000085 = 5372696531013
BaseRepresentation
bin11110101010001000…
…000001010000010101
310010222011220110201101
4132222020001100111
51014404231000320
623042304230101
72243522612116
oct365210012025
9103864813641
1032919000085
1112a62a0aaa4
12646860b331
13314805909a
141843da820d
15cca01cc0a
hex7aa201415

32919000085 has 32 divisors (see below), whose sum is σ = 40823883360. Its totient is φ = 25463927808.

The previous prime is 32919000071. The next prime is 32919000091. The reversal of 32919000085 is 58000091923.

It can be written as a sum of positive squares in 16 ways, for example, as 23624304804 + 9294695281 = 153702^2 + 96409^2 .

It is a cyclic number.

It is not a de Polignac number, because 32919000085 - 211 = 32918998037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32496039 + ... + 32497051.

It is an arithmetic number, because the mean of its divisors is an integer number (1275746355).

Almost surely, 232919000085 is an apocalyptic number.

It is an amenable number.

32919000085 is a deficient number, since it is larger than the sum of its proper divisors (7904883275).

32919000085 is a wasteful number, since it uses less digits than its factorization.

32919000085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 32919000085 in words is "thirty-two billion, nine hundred nineteen million, eighty-five", and thus it is an aban number.

Divisors: 1 5 37 185 269 653 1013 1345 3265 5065 9953 24161 37481 49765 120805 175657 187405 272497 661489 878285 1362485 3307445 6499309 10082389 24475093 32496545 50411945 122375465 177940541 889702705 6583800017 32919000085