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76606838304 = 2531667478697
BaseRepresentation
bin100011101011000011…
…1111001011000100000
321022201212021121012120
41013112013321120200
52223342322311204
655105342224240
75351250244623
oct1072607713040
9238655247176
1076606838304
112a541621517
1212a1b585080
1372bb164729
1439ca26bdba
151ed56676d9
hex11d61f9620

76606838304 has 48 divisors (see below), whose sum is σ = 201214002528. Its totient is φ = 25520241152.

The previous prime is 76606838303. The next prime is 76606838327. The reversal of 76606838304 is 40383860667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (76606838303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79317 + ... + 399380.

It is an arithmetic number, because the mean of its divisors is an integer number (4191958386).

Almost surely, 276606838304 is an apocalyptic number.

It is an amenable number.

76606838304 is an abundant number, since it is smaller than the sum of its proper divisors (124607164224).

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

76606838304 is a wasteful number, since it uses less digits than its factorization.

76606838304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480377 (or 480369 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 76606838304 in words is "seventy-six billion, six hundred six million, eight hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1667 3334 5001 6668 10002 13336 20004 26672 40008 53344 80016 160032 478697 957394 1436091 1914788 2872182 3829576 5744364 7659152 11488728 15318304 22977456 45954912 797987899 1595975798 2393963697 3191951596 4787927394 6383903192 9575854788 12767806384 19151709576 25535612768 38303419152 76606838304