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56561406705 = 3354113973517
BaseRepresentation
bin110100101011010100…
…101001001011110001
312101222212021011112000
4310223110221023301
51411314210003310
641552311124213
74041434011236
oct645324511361
9171885234460
1056561406705
1121a95492021
12ab66373669
135445240bbb
142a47d1b78d
1517109254c0
hexd2b5292f1

56561406705 has 64 divisors (see below), whose sum is σ = 103748601600. Its totient is φ = 29218199040.

The previous prime is 56561406697. The next prime is 56561406739. The reversal of 56561406705 is 50760416565.

56561406705 is a `hidden beast` number, since 565 + 6 + 14 + 0 + 6 + 70 + 5 = 666.

56561406705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56561406705 - 23 = 56561406697 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 732607 + ... + 806123.

It is an arithmetic number, because the mean of its divisors is an integer number (1621071900).

Almost surely, 256561406705 is an apocalyptic number.

It is an amenable number.

56561406705 is a deficient number, since it is larger than the sum of its proper divisors (47187194895).

56561406705 is a wasteful number, since it uses less digits than its factorization.

56561406705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73711 (or 73705 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56561406705 in words is "fifty-six billion, five hundred sixty-one million, four hundred six thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 41 45 123 135 139 205 369 417 615 695 1107 1251 1845 2085 3753 5535 5699 6255 17097 18765 28495 51291 73517 85485 153873 220551 256455 367585 661653 769365 1102755 1984959 3014197 3308265 9042591 9924795 10218863 15070985 27127773 30656589 45212955 51094315 81383319 91969767 135638865 153282945 275909301 406916595 418973383 459848835 1256920149 1379546505 2094866915 3770760447 6284600745 11312281341 18853802235 56561406705