Search a number
-
+
56771080704 = 29321319311609
BaseRepresentation
bin110100110111110100…
…011111001000000000
312102112110210201011200
4310313310133020000
51412231344040304
642025201141200
74046561136552
oct646764371000
9172473721150
1056771080704
1122092882218
12b00462a800
135479804560
142a67adb4d2
151724040e39
hexd37d1f200

56771080704 has 480 divisors, whose sum is σ = 191846054400. Its totient is φ = 16004874240.

The previous prime is 56771080693. The next prime is 56771080733. The reversal of 56771080704 is 40708017765.

56771080704 is a `hidden beast` number, since 567 + 7 + 1 + 0 + 80 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×567710807042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56771080704.

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 47 ways as a sum of consecutive naturals, for example, 35282652 + ... + 35284260.

It is an arithmetic number, because the mean of its divisors is an integer number (399679280).

Almost surely, 256771080704 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 56771080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95923027200).

56771080704 is an abundant number, since it is smaller than the sum of its proper divisors (135074973696).

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

56771080704 is a wasteful number, since it uses less digits than its factorization.

56771080704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 56771080704 in words is "fifty-six billion, seven hundred seventy-one million, eighty thousand, seven hundred four".