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56840884272 = 2435193124821
BaseRepresentation
bin110100111011111110…
…110001000000110000
312102201100011002200000
4310323332301000300
51412402231244042
642040133230000
74051366354524
oct647376610060
9172640132600
1056840884272
1122119219717
12b023a92300
13548b104843
142a730abd84
15172a22d74c
hexd3bfb1030

56840884272 has 240 divisors, whose sum is σ = 179258526720. Its totient is φ = 17370028800.

The previous prime is 56840884249. The next prime is 56840884277. The reversal of 56840884272 is 27248804865.

56840884272 is a `hidden beast` number, since 568 + 4 + 0 + 8 + 8 + 4 + 2 + 72 = 666.

56840884272 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 2×568408842722 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56840884277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277622 + ... + 2302442.

It is an arithmetic number, because the mean of its divisors is an integer number (746910528).

Almost surely, 256840884272 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 56840884272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89629263360).

56840884272 is an abundant number, since it is smaller than the sum of its proper divisors (122417642448).

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

56840884272 is a wasteful number, since it uses less digits than its factorization.

56840884272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24894 (or 24876 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 56840884272 in words is "fifty-six billion, eight hundred forty million, eight hundred eighty-four thousand, two hundred seventy-two".