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56723950080 = 29345739079
BaseRepresentation
bin110100110101000000…
…101100101000000000
312102102012010020010000
4310311000230220000
51412132312400310
642020355040000
74045446422520
oct646500545000
9172365106100
1056723950080
1122069211296
12abb08a0000
13546cb12205
142a6174d680
15171ed314c0
hexd3502ca00

56723950080 has 400 divisors, whose sum is σ = 232197102720. Its totient is φ = 12965142528.

The previous prime is 56723950043. The next prime is 56723950109. The reversal of 56723950080 is 8005932765.

It is a happy number.

56723950080 is a `hidden beast` number, since 5 + 67 + 2 + 3 + 9 + 500 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1431981 + ... + 1471059.

Almost surely, 256723950080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56723950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116098551360).

56723950080 is an abundant number, since it is smaller than the sum of its proper divisors (175473152640).

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

56723950080 is an equidigital number, since it uses as much as digits as its factorization.

56723950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39121 (or 39096 counting only the distinct ones).

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

The spelling of 56723950080 in words is "fifty-six billion, seven hundred twenty-three million, nine hundred fifty thousand, eighty".