Search a number
-
+
56253096000 = 263353312271
BaseRepresentation
bin110100011000111100…
…100010000001000000
312101012101010100202000
4310120330202001000
51410201243033000
641501535024000
74031001266223
oct643074420100
9171171110660
1056253096000
1121947451692
12aa9b06b000
1353c63c342a
142a18dc35ba
1516e3824000
hexd18f22040

56253096000 has 672 divisors, whose sum is σ = 214045678080. Its totient is φ = 14463360000.

The previous prime is 56253095947. The next prime is 56253096019. The reversal of 56253096000 is 69035265.

56253096000 is a `hidden beast` number, since 5 + 62 + 530 + 9 + 60 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207575865 + ... + 207576135.

Almost surely, 256253096000 is an apocalyptic number.

56253096000 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 56253096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107022839040).

56253096000 is an abundant number, since it is smaller than the sum of its proper divisors (157792582080).

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

56253096000 is a wasteful number, since it uses less digits than its factorization.

56253096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 56253096000 in words is "fifty-six billion, two hundred fifty-three million, ninety-six thousand".