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56438572778721 = 3672397492
BaseRepresentation
bin11001101010100101000010…
…00101010000010011100001
321101211110211011202101000000
430311102201011100103201
524344142144112404341
6320011304501050213
714613360306145200
oct1465224105202341
9241743734671000
1056438572778721
1116a8a511a8a461
1263b620b9b6969
132565199883913
14dd18da3ab237
1567d16ba578b6
hex3354a11504e1

56438572778721 has 63 divisors (see below), whose sum is σ = 98436997410051. Its totient is φ = 32249801659824.

The previous prime is 56438572778711. The next prime is 56438572778723. The reversal of 56438572778721 is 12787727583465.

The square root of 56438572778721 is 7512561.

It is a perfect power (a square), and thus also a powerful number.

56438572778721 is a `hidden beast` number, since 5 + 6 + 43 + 8 + 572 + 7 + 7 + 8 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43132857488721 + 13305715290000 = 6567561^2 + 3647700^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is a de Polignac number, because none of the positive numbers 2k-56438572778721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56438572778721.

It is not an unprimeable number, because it can be changed into a prime (56438572778723) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1419854155 + ... + 1419893903.

Almost surely, 256438572778721 is an apocalyptic number.

56438572778721 is the 7512561-st square number.

56438572778721 is the 3756281-st centered octagonal number.

It is an amenable number.

56438572778721 is a deficient number, since it is larger than the sum of its proper divisors (41998424631330).

56438572778721 is an frugal number, since it uses more digits than its factorization.

56438572778721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79530 (or 39759 counting only the distinct ones).

The product of its digits is 1106380800, while the sum is 72.

The spelling of 56438572778721 in words is "fifty-six trillion, four hundred thirty-eight billion, five hundred seventy-two million, seven hundred seventy-eight thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 11907 35721 39749 119247 278243 357741 834729 1073223 1947701 2504187 3219669 5843103 7512561 9659007 17529309 22537683 28977021 52587927 67613049 157763781 202839147 473291343 1419874029 1579983001 4739949003 11059881007 14219847009 33179643021 42659541027 77419167049 99538929063 127978623081 232257501147 298616787189 383935869243 696772503441 895850361567 1151807607729 2090317510323 2687551084701 6270952530969 8062653254103 18812857592907 56438572778721