Search a number
-
+
56531573100 = 223252611975227
BaseRepresentation
bin110100101001100010…
…110101100101101100
312101220210010110111200
4310221202311211230
51411234040314400
641545323445500
74040622304632
oct645142654554
9171823113450
1056531573100
1121a7a665652
12ab58386890
13543bcc6892
142a43d93352
15170ced0b00
hexd298b596c

56531573100 has 216 divisors, whose sum is σ = 181048755888. Its totient is φ = 14749862400.

The previous prime is 56531573093. The next prime is 56531573171. The reversal of 56531573100 is 137513565.

56531573100 is a `hidden beast` number, since 56 + 5 + 31 + 573 + 1 + 0 + 0 = 666.

56531573100 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-2 number, since 2×565315731002 (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 10812687 + ... + 10817913.

Almost surely, 256531573100 is an apocalyptic number.

56531573100 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 56531573100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90524377944).

56531573100 is an abundant number, since it is smaller than the sum of its proper divisors (124517182788).

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

56531573100 is a wasteful number, since it uses less digits than its factorization.

56531573100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 56531573100 in words is "fifty-six billion, five hundred thirty-one million, five hundred seventy-three thousand, one hundred".