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56481184188 = 2232111318795839
BaseRepresentation
bin110100100110100010…
…100111100110111100
312101210021022102220200
4310212202213212330
51411133140343223
641540323443500
74036441100322
oct644642474674
9171707272820
1056481184188
1121a54179720
12ab43526590
135431733460
142a3b3d7d12
15170887aa43
hexd268a79bc

56481184188 has 144 divisors (see below), whose sum is σ = 167850009600. Its totient is φ = 15787820160.

The previous prime is 56481184187. The next prime is 56481184223. The reversal of 56481184188 is 88148118465.

56481184188 is a `hidden beast` number, since 5 + 6 + 481 + 1 + 84 + 1 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56481184187) 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 47 ways as a sum of consecutive naturals, for example, 9670173 + ... + 9676011.

Almost surely, 256481184188 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 56481184188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83925004800).

56481184188 is an abundant number, since it is smaller than the sum of its proper divisors (111368825412).

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

56481184188 is a wasteful number, since it uses less digits than its factorization.

56481184188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752 (or 7747 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 54.

The spelling of 56481184188 in words is "fifty-six billion, four hundred eighty-one million, one hundred eighty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 1879 2574 3758 5148 5637 5839 7516 11274 11678 16911 17517 20669 22548 23356 24427 33822 35034 41338 48854 52551 62007 64229 67644 70068 73281 75907 82676 97708 105102 124014 128458 146562 151814 186021 192687 210204 219843 227721 248028 256916 268697 293124 303628 372042 385374 439686 455442 537394 578061 683163 744084 770748 806091 834977 879372 910884 1074788 1156122 1366326 1612182 1669954 2312244 2418273 2504931 2732652 3224364 3339908 4836546 5009862 7514793 9673092 10019724 10971481 15029586 21942962 30059172 32914443 43885924 65828886 98743329 120686291 131657772 142629253 197486658 241372582 285258506 362058873 394973316 427887759 482745164 570517012 724117746 855775518 1086176619 1283663277 1448235492 1568921783 1711551036 2172353238 2567326554 3137843566 4344706476 4706765349 5134653108 6275687132 9413530698 14120296047 18827061396 28240592094 56481184188