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77193690568036 = 2274896532
BaseRepresentation
bin10001100011010100001110…
…100000010101010101100100
3101010022122102000120002010221
4101203110032200111111210
540104220134241134121
6432102143014054124
722155026420410000
oct2143241640252544
9333278360502127
1077193690568036
1122661729987a89
1287a87a294a344
13340c4454347b3
14150c2a1c23700
158dceb97acb41
hex46350e815564

77193690568036 has 45 divisors (see below), whose sum is σ = 157596165485241. Its totient is φ = 33082641231696.

The previous prime is 77193690568021. The next prime is 77193690568037. The reversal of 77193690568036 is 63086509639177.

The square root of 77193690568036 is 8785994.

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

It can be written as a sum of positive squares in only one way, i.e., 72300498820900 + 4893191747136 = 8502970^2 + 2212056^2 .

It is not an unprimeable number, because it can be changed into a prime (77193690568037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 860982586 + ... + 861072238.

Almost surely, 277193690568036 is an apocalyptic number.

77193690568036 is the 8785994-th square number.

It is an amenable number.

77193690568036 is an abundant number, since it is smaller than the sum of its proper divisors (80402474917205).

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

77193690568036 is an frugal number, since it uses more digits than its factorization.

77193690568036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179338 (or 89662 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 70.

The spelling of 77193690568036 in words is "seventy-seven trillion, one hundred ninety-three billion, six hundred ninety million, five hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 9604 89653 179306 358612 627571 1255142 2510284 4392997 8785994 17571988 30750979 61501958 123003916 215256853 430513706 861027412 8037660409 16075320818 32150641636 56263622863 112527245726 225054491452 393845360041 787690720082 1575381440164 2756917520287 5513835040574 11027670081148 19298422642009 38596845284018 77193690568036