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56069146161 = 367210115541
BaseRepresentation
bin110100001101111110…
…110100011000110001
312100201112222202000000
4310031332310120301
51404312200134121
641431404220213
74023305610300
oct641576643061
9170645882000
1056069146161
1121862631426
12aa4953a669
135397268782
1429dc7bc437
1516d25da526
hexd0dfb4631

56069146161 has 84 divisors (see below), whose sum is σ = 98764778484. Its totient is φ = 31720248000.

The previous prime is 56069146153. The next prime is 56069146163. The reversal of 56069146161 is 16164196065.

56069146161 is a `hidden beast` number, since 560 + 69 + 14 + 6 + 16 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49737920400 + 6331225761 = 223020^2 + 79569^2 .

It is not a de Polignac number, because 56069146161 - 23 = 56069146153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56069146163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3600051 + ... + 3615591.

Almost surely, 256069146161 is an apocalyptic number.

It is an amenable number.

56069146161 is a deficient number, since it is larger than the sum of its proper divisors (42695632323).

56069146161 is a wasteful number, since it uses less digits than its factorization.

56069146161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15674 (or 15652 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 56069146161 in words is "fifty-six billion, sixty-nine million, one hundred forty-six thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 101 147 189 243 303 441 567 707 729 909 1323 1701 2121 2727 3969 4949 5103 6363 8181 11907 14847 15541 19089 24543 35721 44541 46623 57267 73629 108787 133623 139869 171801 326361 400869 419607 515403 761509 979083 1202607 1258821 1569641 2284527 2937249 3607821 3776463 4708923 6853581 8811747 10987487 11329389 14126769 20560743 26435241 32962461 42380307 61682229 76912409 79305723 98887383 127140921 185046687 230737227 296662149 381422763 555140061 692211681 889986447 1144268289 2076635043 2669959341 6229905129 8009878023 18689715387 56069146161