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11938189308264 = 2332718092886683
BaseRepresentation
bin1010110110111001001110…
…0010000111000101101000
31120021021112221100121221100
42231232103202013011220
53031043402430331024
641220154540241400
72341335313550112
oct255562342070550
946237487317840
1011938189308264
113892a5970029a
12140984b540260
136879c6a9ac8b
142d3b5086c3b2
1515a8167517c9
hexadb93887168

11938189308264 has 96 divisors (see below), whose sum is σ = 32828525121600. Its totient is φ = 3918497614080.

The previous prime is 11938189308259. The next prime is 11938189308281. The reversal of 11938189308264 is 46280398183911.

11938189308264 is a `hidden beast` number, since 1 + 1 + 93 + 8 + 189 + 308 + 2 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2692267 + ... + 5578949.

It is an arithmetic number, because the mean of its divisors is an integer number (341963803350).

Almost surely, 211938189308264 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 11938189308264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414262560800).

11938189308264 is an abundant number, since it is smaller than the sum of its proper divisors (20890335813336).

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

11938189308264 is a wasteful number, since it uses less digits than its factorization.

11938189308264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887575 (or 2887568 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 11938189308264 in words is "eleven trillion, nine hundred thirty-eight billion, one hundred eighty-nine million, three hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 809 852 1278 1618 1704 2427 2556 3236 4854 5112 6472 7281 9708 14562 19416 29124 57439 58248 114878 172317 229756 344634 459512 516951 689268 1033902 1378536 2067804 2886683 4135608 5773366 8660049 11546732 17320098 23093464 25980147 34640196 51960294 69280392 103920588 204954493 207841176 409908986 614863479 819817972 1229726958 1639635944 1844590437 2335326547 2459453916 3689180874 4670653094 4918907832 7005979641 7378361748 9341306188 14011959282 14756723496 18682612376 21017938923 28023918564 42035877846 56047837128 84071755692 165808184837 168143511384 331616369674 497424554511 663232739348 994849109022 1326465478696 1492273663533 1989698218044 2984547327066 3979396436088 5969094654132 11938189308264