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83934474803776 = 26941212172
BaseRepresentation
bin10011000101011010000100…
…100011100001101001000000
3102000012001112212022212110201
4103011122010203201221000
542000140301022210101
6454302544310134544
723452031350134112
oct2305320443415100
9360161485285421
1083934474803776
112482045794aa83
1294b7091951454
1337aacaa60749c
1416a26437093b2
159a84dd095e01
hex4c56848e1a40

83934474803776 has 63 divisors (see below), whose sum is σ = 166871779268347. Its totient is φ = 41888191324160.

The previous prime is 83934474803723. The next prime is 83934474803791. The reversal of 83934474803776 is 67730847443938.

The square root of 83934474803776 is 9161576.

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

83934474803776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179470849600 + 83755003954176 = 423640^2 + 9151776^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83934474803699 and 83934474803708.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 68968343520 + ... + 68968344736.

Almost surely, 283934474803776 is an apocalyptic number.

83934474803776 is the 9161576-th square number.

It is an amenable number.

83934474803776 is a deficient number, since it is larger than the sum of its proper divisors (82937304464571).

83934474803776 is an frugal number, since it uses more digits than its factorization.

83934474803776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 73.

The spelling of 83934474803776 in words is "eighty-three trillion, nine hundred thirty-four billion, four hundred seventy-four million, eight hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 941 1217 1882 2434 3764 4868 7528 9736 15056 19472 30112 38944 60224 77888 885481 1145197 1481089 1770962 2290394 2962178 3541924 4580788 5924356 7083848 9161576 11848712 14167696 18323152 23697424 28335392 36646304 47394848 56670784 73292608 94789696 1077630377 1393704749 2155260754 2787409498 4310521508 5574818996 8621043016 11149637992 17242086032 22299275984 34484172064 44598551968 68968344128 89197103936 1311476168809 2622952337618 5245904675236 10491809350472 20983618700944 41967237401888 83934474803776