Search a number
-
+
56372267700 = 223252729308551
BaseRepresentation
bin110100100000000011…
…001000101010110100
312101111200100220120200
4310200003020222310
51410422300031300
641521433200500
74033646240460
oct644003105264
9171450326520
1056372267700
11219a87480a1
12ab12b60130
135414cba328
142a2ab654a0
1516ee014200
hexd200c8ab4

56372267700 has 216 divisors, whose sum is σ = 208902046080. Its totient is φ = 12440736000.

The previous prime is 56372267681. The next prime is 56372267761. The reversal of 56372267700 is 776227365.

56372267700 is a `hidden beast` number, since 5 + 637 + 2 + 2 + 6 + 7 + 7 + 0 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28425 + ... + 336975.

Almost surely, 256372267700 is an apocalyptic number.

56372267700 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 56372267700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104451023040).

56372267700 is an abundant number, since it is smaller than the sum of its proper divisors (152529778380).

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

56372267700 is a wasteful number, since it uses less digits than its factorization.

56372267700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308607 (or 308597 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 56372267700 in words is "fifty-six billion, three hundred seventy-two million, two hundred sixty-seven thousand, seven hundred".