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56080040184 = 23327261325931
BaseRepresentation
bin110100001110101000…
…011000000011111000
312100202022111012210100
4310032220120003320
51404322442241214
641432433515400
74023500322300
oct641650300370
9170668435710
1056080040184
11218687a2253
12aa51112b60
1353995b123c
142a00016600
1516d353d309
hexd0ea180f8

56080040184 has 144 divisors (see below), whose sum is σ = 176975786520. Its totient is φ = 15996113280.

The previous prime is 56080040167. The next prime is 56080040201. The reversal of 56080040184 is 48104008065.

56080040184 is a `hidden beast` number, since 5 + 608 + 0 + 0 + 40 + 1 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56080040167) and next prime (56080040201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2149699 + ... + 2175629.

Almost surely, 256080040184 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 56080040184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88487893260).

56080040184 is an abundant number, since it is smaller than the sum of its proper divisors (120895746336).

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

56080040184 is a wasteful number, since it uses less digits than its factorization.

56080040184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26570 (or 26556 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 56080040184 in words is "fifty-six billion, eighty million, forty thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 613 882 1176 1226 1764 1839 2452 3528 3678 4291 4904 5517 7356 8582 11034 12873 14712 17164 22068 25746 25931 30037 34328 38619 44136 51492 51862 60074 77238 77793 90111 102984 103724 120148 154476 155586 180222 181517 207448 233379 240296 270333 308952 311172 360444 363034 466758 540666 544551 622344 720888 726068 933516 1081332 1089102 1270619 1452136 1633653 1867032 2162664 2178204 2541238 3267306 3811857 4356408 5082476 6534612 7623714 10164952 11435571 13069224 15247428 15895703 22871142 30494856 31791406 45742284 47687109 63582812 91484568 95374218 111269921 127165624 143061327 190748436 222539842 286122654 333809763 381496872 445079684 572245308 667619526 778889447 890159368 1001429289 1144490616 1335239052 1557778894 2002858578 2336668341 2670478104 3115557788 4005717156 4673336682 6231115576 7010005023 8011434312 9346673364 14020010046 18693346728 28040020092 56080040184