Search a number
-
+
56800375873920 = 273457156526609
BaseRepresentation
bin11001110101000110111100…
…01110100010000110000000
321110010001200212002221010000
430322203132032202012000
524421104132210431140
6320445422113040000
714651456156543550
oct1472433616420600
9243101625087100
1056800375873920
11171099a4441938
126454362b56000
132590338874533
14100521d643160
15687794dd4a30
hex33a8de3a2180

56800375873920 has 320 divisors, whose sum is σ = 231822170474400. Its totient is φ = 12982942973952.

The previous prime is 56800375873841. The next prime is 56800375873921. The reversal of 56800375873920 is 2937857300865.

56800375873920 is a `hidden beast` number, since 568 + 0 + 0 + 37 + 5 + 8 + 7 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56800375873921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77900425 + ... + 78626184.

Almost surely, 256800375873920 is an apocalyptic number.

It is an amenable number.

56800375873920 is an abundant number, since it is smaller than the sum of its proper divisors (175021794600480).

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

56800375873920 is a wasteful number, since it uses less digits than its factorization.

56800375873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156526647 (or 156526626 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 56800375873920 in words is "fifty-six trillion, eight hundred billion, three hundred seventy-five million, eight hundred seventy-three thousand, nine hundred twenty".