Search a number
-
+
56899971072 = 2113372937137
BaseRepresentation
bin110100111111100000…
…001010100000000000
312102212110100000112000
4310333200022200000
51413012343033242
642050043504000
74053014526330
oct647740124000
9172773300460
1056899971072
112214960648a
12b03b828000
13549a421c49
142a7ac8d0c0
151730500a4c
hexd3f80a800

56899971072 has 768 divisors, whose sum is σ = 206152128000. Its totient is φ = 15160836096.

The previous prime is 56899971067. The next prime is 56899971119. The reversal of 56899971072 is 27017999865.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415328188 + ... + 415328324.

It is an arithmetic number, because the mean of its divisors is an integer number (268427250).

Almost surely, 256899971072 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 56899971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103076064000).

56899971072 is an abundant number, since it is smaller than the sum of its proper divisors (149252156928).

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

56899971072 is a wasteful number, since it uses less digits than its factorization.

56899971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 56899971072 in words is "fifty-six billion, eight hundred ninety-nine million, nine hundred seventy-one thousand, seventy-two".