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82504094472 = 2332338512
BaseRepresentation
bin100110011010110100…
…0001001001100001000
321212221212000020211200
41030311220021030020
52322432022010342
6101522445024200
75650346142402
oct1146550111410
9255855006750
1082504094472
1131a98457348
1213ba6555060
137a1ab68b17
143dc9573b72
15222d25794c
hex1335a09308

82504094472 has 36 divisors (see below), whose sum is σ = 223455190335. Its totient is φ = 27500552400.

The previous prime is 82504094441. The next prime is 82504094483. The reversal of 82504094472 is 27449040528.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82504094472 is a `hidden beast` number, since 8 + 2 + 50 + 40 + 94 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41252047236 + 41252047236 = 203106^2 + 203106^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=203106.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2420347 + ... + 2454197.

Almost surely, 282504094472 is an apocalyptic number.

It is an amenable number.

82504094472 is an abundant number, since it is smaller than the sum of its proper divisors (140951095863).

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

82504094472 is an frugal number, since it uses more digits than its factorization.

82504094472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67714 (or 33856 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 82504094472 in words is "eighty-two billion, five hundred four million, ninety-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 33851 67702 101553 135404 203106 270808 304659 406212 609318 812424 1218636 2437272 1145890201 2291780402 3437670603 4583560804 6875341206 9167121608 10313011809 13750682412 20626023618 27501364824 41252047236 82504094472