Search a number
-
+
56840990976 = 2833721121973
BaseRepresentation
bin110100111011111111…
…001011000100000000
312102201100100112001000
4310323333023010000
51412402243202401
642040135412000
74051400310600
oct647377130400
9172640315030
1056840990976
1122119291900
12b023b24000
13548b141293
142a730d8c00
15172a250186
hexd3bfcb100

56840990976 has 1296 divisors, whose sum is σ = 229334347200. Its totient is φ = 13795246080.

The previous prime is 56840990971. The next prime is 56840990977. The reversal of 56840990976 is 67909904865.

It is a happy number.

56840990976 is a `hidden beast` number, since 56 + 8 + 409 + 90 + 97 + 6 = 666.

56840990976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56840990971) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 778643676 + ... + 778643748.

Almost surely, 256840990976 is an apocalyptic number.

56840990976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56840990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114667173600).

56840990976 is an abundant number, since it is smaller than the sum of its proper divisors (172493356224).

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

56840990976 is a wasteful number, since it uses less digits than its factorization.

56840990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 56840990976 in words is "fifty-six billion, eight hundred forty million, nine hundred ninety thousand, nine hundred seventy-six".