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76666590828 = 22332392933223
BaseRepresentation
bin100011101100110101…
…1110101011001101100
321022220000201100021000
41013121223311121230
52224003121401303
655115315040300
75352604161342
oct1073153653154
9238800640230
1076666590828
112a572323473
1212a375a0090
1372ca655b59
1439d4183992
151edaa1bda3
hex11d9af566c

76666590828 has 96 divisors (see below), whose sum is σ = 207636710400. Its totient is φ = 24417372672.

The previous prime is 76666590827. The next prime is 76666590887. The reversal of 76666590828 is 82809566667.

It is a super-2 number, since 2×766665908282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76666590821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2291025 + ... + 2324247.

It is an arithmetic number, because the mean of its divisors is an integer number (2162882400).

Almost surely, 276666590828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76666590828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103818355200).

76666590828 is an abundant number, since it is smaller than the sum of its proper divisors (130970119572).

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

76666590828 is a wasteful number, since it uses less digits than its factorization.

76666590828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34188 (or 34180 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 76666590828 in words is "seventy-six billion, six hundred sixty-six million, five hundred ninety thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 929 1242 1858 2484 2787 3716 5574 8361 11148 16722 21367 25083 33223 33444 42734 50166 64101 66446 85468 99669 100332 128202 132892 192303 199338 256404 299007 384606 398676 576909 598014 764129 769212 897021 1153818 1196028 1528258 1794042 2292387 2307636 3056516 3588084 4584774 6877161 9169548 13754322 20631483 27508644 30864167 41262966 61728334 82525932 92592501 123456668 185185002 277777503 370370004 555555006 709875841 833332509 1111110012 1419751682 1666665018 2129627523 2839503364 3333330036 4259255046 6388882569 8518510092 12777765138 19166647707 25555530276 38333295414 76666590828