Search a number
-
+
56734277870656 = 26673213992
BaseRepresentation
bin11001110011001011110100…
…11110101010010001000000
321102212202002101001110111001
430321211322132222101000
524414013300113330111
6320355211211301344
714643626203022641
oct1471457236522100
9242782071043431
1056734277870656
1117093965886761
126443596a4a854
1325870339568b9
141001d4cd4d6c8
15685bc713b1c1
hex33997a7aa440

56734277870656 has 63 divisors (see below), whose sum is σ = 112830265754181. Its totient is φ = 28304742057984.

The previous prime is 56734277870639. The next prime is 56734277870671. The reversal of 56734277870656 is 65607877243765.

The square root of 56734277870656 is 7532216.

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., 18566791566400 + 38167486304256 = 4308920^2 + 6177984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40553450245 + ... + 40553451643.

Almost surely, 256734277870656 is an apocalyptic number.

56734277870656 is the 7532216-th square number.

It is an amenable number.

56734277870656 is a deficient number, since it is larger than the sum of its proper divisors (56095987883525).

56734277870656 is an frugal number, since it uses more digits than its factorization.

56734277870656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 2489356800, while the sum is 73.

The spelling of 56734277870656 in words is "fifty-six trillion, seven hundred thirty-four billion, two hundred seventy-seven million, eight hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 673 1346 1399 2692 2798 5384 5596 10768 11192 21536 22384 43072 44768 89536 452929 905858 941527 1811716 1883054 1957201 3623432 3766108 3914402 7246864 7532216 7828804 14493728 15064432 15657608 28987456 30128864 31315216 60257728 62630432 125260864 633647671 1267295342 1317196273 2534590684 2634392546 5069181368 5268785092 10138362736 10537570184 20276725472 21075140368 40553450944 42150280736 84300561472 886473091729 1772946183458 3545892366916 7091784733832 14183569467664 28367138935328 56734277870656