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56503897200 = 24325237941413
BaseRepresentation
bin110100100111111001…
…010000110001110000
312101211212001101022100
4310213321100301300
51411204444202300
641542454340400
74040135126112
oct644771206160
9171755041270
1056503897200
1121a65a82303
12ab4b05a700
1354363566ca
142a4042b3b2
15170a865700
hexd27e50c70

56503897200 has 180 divisors, whose sum is σ = 196606338760. Its totient is φ = 15027586560.

The previous prime is 56503897193. The next prime is 56503897231. The reversal of 56503897200 is 279830565.

It is a happy number.

56503897200 is a `hidden beast` number, since 5 + 65 + 0 + 389 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1343694 + ... + 1385106.

Almost surely, 256503897200 is an apocalyptic number.

56503897200 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 56503897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98303169380).

56503897200 is an abundant number, since it is smaller than the sum of its proper divisors (140102441560).

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

56503897200 is a wasteful number, since it uses less digits than its factorization.

56503897200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41816 (or 41802 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56503897200 in words is "fifty-six billion, five hundred three million, eight hundred ninety-seven thousand, two hundred".