Search a number
-
+
56497606200 = 233252717263761
BaseRepresentation
bin110100100111100001…
…010000111000111000
312101211102012202200100
4310213201100320320
51411201341344300
641542111435400
74040030505030
oct644741207070
9171742182610
1056497606200
1121a62475832
12ab48b25b60
135434c63119
142a3d6708c0
15170a021700
hexd27850e38

56497606200 has 288 divisors, whose sum is σ = 229599545760. Its totient is φ = 12154060800.

The previous prime is 56497606189. The next prime is 56497606219. The reversal of 56497606200 is 260679465.

56497606200 is a `hidden beast` number, since 564 + 9 + 7 + 60 + 6 + 20 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82320 + ... + 346080.

It is an arithmetic number, because the mean of its divisors is an integer number (797220645).

Almost surely, 256497606200 is an apocalyptic number.

56497606200 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 56497606200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114799772880).

56497606200 is an abundant number, since it is smaller than the sum of its proper divisors (173101939560).

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

56497606200 is a wasteful number, since it uses less digits than its factorization.

56497606200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263807 (or 263795 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56497606200 in words is "fifty-six billion, four hundred ninety-seven million, six hundred six thousand, two hundred".