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56525535000 = 23325411114193
BaseRepresentation
bin110100101001001011…
…110011011100011000
312101220100202200210100
4310221023303130120
51411231014110000
641544550215400
74040520056064
oct645113633430
9171810680710
1056525535000
1121a77211090
12ab56354560
13543a99143c
142a43260aa4
15170c6dba00
hexd292f3718

56525535000 has 240 divisors, whose sum is σ = 208694102760. Its totient is φ = 13703040000.

The previous prime is 56525534971. The next prime is 56525535023. The reversal of 56525535000 is 53552565.

56525535000 is a `hidden beast` number, since 5 + 6 + 52 + 553 + 50 + 0 + 0 = 666.

56525535000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×565255350003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 437904 + ... + 552096.

Almost surely, 256525535000 is an apocalyptic number.

56525535000 is a gapful number since it is divisible by the number (50) 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 56525535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104347051380).

56525535000 is an abundant number, since it is smaller than the sum of its proper divisors (152168567760).

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

56525535000 is a wasteful number, since it uses less digits than its factorization.

56525535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114236 (or 114214 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 56525535000 in words is "fifty-six billion, five hundred twenty-five million, five hundred thirty-five thousand".