Search a number
-
+
56494136160 = 253257111724143
BaseRepresentation
bin110100100111010100…
…000001101101100000
312101211011200110200100
4310213110001231200
51411144444324120
641541505222400
74036656143220
oct644724015540
9171734613610
1056494136160
1121a60515730
12ab47931a00
135434319847
142a3d00a080
151709a88490
hexd27501b60

56494136160 has 1728 divisors, whose sum is σ = 267637353984. Its totient is φ = 10528358400.

The previous prime is 56494136123. The next prime is 56494136161. The reversal of 56494136160 is 6163149465.

56494136160 is a `hidden beast` number, since 564 + 9 + 41 + 36 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56494136161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1313817099 + ... + 1313817141.

It is an arithmetic number, because the mean of its divisors is an integer number (154882728).

Almost surely, 256494136160 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 56494136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133818676992).

56494136160 is an abundant number, since it is smaller than the sum of its proper divisors (211143217824).

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

56494136160 is a wasteful number, since it uses less digits than its factorization.

56494136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56494136160 in words is "fifty-six billion, four hundred ninety-four million, one hundred thirty-six thousand, one hundred sixty".