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87940474272 = 2532743621267
BaseRepresentation
bin101000111100110101…
…0010010010110100000
322101222201111221221200
41101321222102112200
52420100230134042
6104222125321200
76232150461240
oct1217152222640
9271881457850
1087940474272
1134328117a12
1215063106200
1383a6235ac1
144383589b20
15244a65bc4c
hex1479a925a0

87940474272 has 72 divisors (see below), whose sum is σ = 285806547936. Its totient is φ = 25125849216.

The previous prime is 87940474261. The next prime is 87940474273. The reversal of 87940474272 is 27247404978.

87940474272 is a `hidden beast` number, since 87 + 94 + 0 + 474 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87940474273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21808618 + ... + 21812649.

It is an arithmetic number, because the mean of its divisors is an integer number (3969535388).

Almost surely, 287940474272 is an apocalyptic number.

It is an amenable number.

87940474272 is an abundant number, since it is smaller than the sum of its proper divisors (197866073664).

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

87940474272 is a wasteful number, since it uses less digits than its factorization.

87940474272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43621290 (or 43621279 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 87940474272 in words is "eighty-seven billion, nine hundred forty million, four hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 43621267 87242534 130863801 174485068 261727602 305348869 348970136 392591403 523455204 610697738 697940272 785182806 916046607 1046910408 1221395476 1395880544 1570365612 1832093214 2093820816 2442790952 2748139821 3140731224 3664186428 4187641632 4885581904 5496279642 6281462448 7328372856 9771163808 10992559284 12562924896 14656745712 21985118568 29313491424 43970237136 87940474272