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76617132804 = 2232461332
BaseRepresentation
bin100011101011010111…
…1001010101100000100
321022202120122121121100
41013112233022230010
52223402441222204
655110351020100
75351433612012
oct1072657125404
9238676577540
1076617132804
112a547412973
1212a22b0a630
1372c032a354
1439cb78b8b2
151ed64eca39
hex11d6bcab04

76617132804 has 27 divisors (see below), whose sum is σ = 193675283893. Its totient is φ = 25538490672.

The previous prime is 76617132797. The next prime is 76617132817. The reversal of 76617132804 is 40823171667.

The square root of 76617132804 is 276798.

It is a perfect power (a square), and thus also a powerful number.

76617132804 is a `hidden beast` number, since 7 + 6 + 617 + 1 + 3 + 28 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45305122500 + 31312010304 = 212850^2 + 176952^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76617132804.

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, 1637722 + ... + 1683854.

Almost surely, 276617132804 is an apocalyptic number.

76617132804 is the 276798-th square number.

It is an amenable number.

76617132804 is an abundant number, since it is smaller than the sum of its proper divisors (117058151089).

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

76617132804 is an frugal number, since it uses more digits than its factorization.

76617132804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92276 (or 46138 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 76617132804 in words is "seventy-six billion, six hundred seventeen million, one hundred thirty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 46133 92266 138399 184532 276798 415197 553596 830394 1660788 2128253689 4256507378 6384761067 8513014756 12769522134 19154283201 25539044268 38308566402 76617132804