Search a number
-
+
11112660544626 = 23229891012368297
BaseRepresentation
bin1010000110110101111000…
…1011110010110001110010
31110100100201102100022210100
42201231132023302301302
52424032212044412001
635345030310013230
72224602042050544
oct241553613626162
943310642308710
1011112660544626
1135a4942197633
1212b585b647216
13627bc4ba1a04
142a5bd9c3b694
151440ec141586
hexa1b5e2f2c72

11112660544626 has 96 divisors (see below), whose sum is σ = 25436941498800. Its totient is φ = 3501288806400.

The previous prime is 11112660544561. The next prime is 11112660544627. The reversal of 11112660544626 is 62644506621111.

11112660544626 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 26 + 60 + 544 + 6 + 26 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9770619388401 + 1342041156225 = 3125799^2 + 1158465^2 .

It is not an unprimeable number, because it can be changed into a prime (11112660544627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3508110 + ... + 5876406.

Almost surely, 211112660544626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112660544626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12718470749400).

11112660544626 is an abundant number, since it is smaller than the sum of its proper divisors (14324280954174).

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

11112660544626 is a wasteful number, since it uses less digits than its factorization.

11112660544626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368524 (or 2368521 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11112660544626 in words is "eleven trillion, one hundred twelve billion, six hundred sixty million, five hundred forty-four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 89 101 174 178 202 261 267 303 522 534 606 801 909 1602 1818 2581 2929 5162 5858 7743 8787 8989 15486 17574 17978 23229 26361 26967 46458 52722 53934 80901 161802 260681 521362 782043 1564086 2346129 2368297 4692258 4736594 7104891 14209782 21314673 42629346 68680613 137361226 206041839 210778433 239197997 412083678 421556866 478395994 618125517 632335299 717593991 1236251034 1264670598 1435187982 1897005897 2152781973 3794011794 4305563946 6112574557 6936741913 12225149114 13873483826 18337723671 20810225739 21288621733 36675447342 41620451478 42577243466 55013171013 62430677217 63865865199 110026342026 124861354434 127731730398 191597595597 383195191194 617370030257 1234740060514 1852110090771 3704220181542 5556330272313 11112660544626