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87952078464 = 273229041871
BaseRepresentation
bin101000111101001011…
…0100011011010000000
322102000112100111220120
41101322112203122000
52420111213002324
6104223222140240
76232351221555
oct1217226433200
9272015314816
1087952078464
1134333723358
1215066b81680
1383a87698a3
144384d2aa2c
15244b6a0179
hex147a5a3680

87952078464 has 32 divisors (see below), whose sum is σ = 233622709440. Its totient is φ = 29317359360.

The previous prime is 87952078433. The next prime is 87952078481. The reversal of 87952078464 is 46487025978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×879520784642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87952078398 and 87952078407.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114520552 + ... + 114521319.

It is an arithmetic number, because the mean of its divisors is an integer number (7300709670).

Almost surely, 287952078464 is an apocalyptic number.

It is an amenable number.

87952078464 is an abundant number, since it is smaller than the sum of its proper divisors (145670630976).

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

87952078464 is a wasteful number, since it uses less digits than its factorization.

87952078464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229041888 (or 229041876 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 87952078464 in words is "eighty-seven billion, nine hundred fifty-two million, seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 229041871 458083742 687125613 916167484 1374251226 1832334968 2748502452 3664669936 5497004904 7329339872 10994009808 14658679744 21988019616 29317359488 43976039232 87952078464