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56503332000 = 2538532153
BaseRepresentation
bin110100100111110111…
…000110110010100000
312101211210222200000000
4310213313012302200
51411204323111000
641542434300000
74040130253233
oct644767066240
9171753880000
1056503332000
1121a657266a5
12ab4aa27600
1354361b937b
142a4032141a
15170a7a3000
hexd27dc6ca0

56503332000 has 432 divisors, whose sum is σ = 208329167592. Its totient is φ = 15060556800.

The previous prime is 56503331993. The next prime is 56503332019. The reversal of 56503332000 is 23330565.

56503332000 is a `hidden beast` number, since 5 + 650 + 3 + 3 + 3 + 2 + 0 + 0 + 0 = 666.

56503332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5505046416 + 50998285584 = 74196^2 + 225828^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26242924 + ... + 26245076.

Almost surely, 256503332000 is an apocalyptic number.

56503332000 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 56503332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104164583796).

56503332000 is an abundant number, since it is smaller than the sum of its proper divisors (151825835592).

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

56503332000 is an frugal number, since it uses more digits than its factorization.

56503332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 56503332000 its reverse (23330565), we get a palindrome (56526662565).

The spelling of 56503332000 in words is "fifty-six billion, five hundred three million, three hundred thirty-two thousand".