Search a number
-
+
56499717120 = 21035711233167
BaseRepresentation
bin110100100111101001…
…010100010000000000
312101211120012000022120
4310213221110100000
51411202411421440
641542225004240
74040054446230
oct644751242000
9171746160276
1056499717120
1121a636877a0
12ab49783680
135435521ba2
142a3da5dcc0
15170a2dbdd0
hexd27a54400

56499717120 has 1408 divisors, whose sum is σ = 246303424512. Its totient is φ = 10705305600.

The previous prime is 56499717119. The next prime is 56499717133. The reversal of 56499717120 is 2171799465.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 843279327 + ... + 843279393.

Almost surely, 256499717120 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 56499717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123151712256).

56499717120 is an abundant number, since it is smaller than the sum of its proper divisors (189803707392).

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

56499717120 is a wasteful number, since it uses less digits than its factorization.

56499717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 56499717120 in words is "fifty-six billion, four hundred ninety-nine million, seven hundred seventeen thousand, one hundred twenty".