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76585147956 = 22322127365221
BaseRepresentation
bin100011101010011010…
…1001001111000110100
321022200100110121122100
41013110311021320310
52223321244213311
655103245302100
75350565005512
oct1072465117064
9238610417570
1076585147956
112a530357209
1212a14264930
1372b680bac5
1439c74234b2
151ed37d0a56
hex11d4d49e34

76585147956 has 18 divisors (see below), whose sum is σ = 193590235202. Its totient is φ = 25528382640.

The previous prime is 76585147949. The next prime is 76585147957. The reversal of 76585147956 is 65974158567.

76585147956 is a `hidden beast` number, since 7 + 6 + 585 + 1 + 47 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57920123556 + 18665024400 = 240666^2 + 136620^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 76585147893 and 76585147902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76585147957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1063682575 + ... + 1063682646.

Almost surely, 276585147956 is an apocalyptic number.

It is an amenable number.

76585147956 is an abundant number, since it is smaller than the sum of its proper divisors (117005087246).

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

76585147956 is a wasteful number, since it uses less digits than its factorization.

76585147956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127365231 (or 2127365226 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 76585147956 in words is "seventy-six billion, five hundred eighty-five million, one hundred forty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2127365221 4254730442 6382095663 8509460884 12764191326 19146286989 25528382652 38292573978 76585147956