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11106651096 = 23331910972467
BaseRepresentation
bin10100101100000001…
…00000101111011000
31001200001010100001000
422112000200233120
5140221300313341
65034034025000
7542142655662
oct122600405730
931601110030
1011106651096
11478a4623a2
12219b718160
1310800595c8
14775113532
154501098b6
hex296020bd8

11106651096 has 128 divisors (see below), whose sum is σ = 32518368000. Its totient is φ = 3502745856.

The previous prime is 11106651071. The next prime is 11106651097. The reversal of 11106651096 is 69015660111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11106651096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106651097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4500855 + ... + 4503321.

It is an arithmetic number, because the mean of its divisors is an integer number (254049750).

Almost surely, 211106651096 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 11106651096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259184000).

11106651096 is an abundant number, since it is smaller than the sum of its proper divisors (21411716904).

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

11106651096 is a wasteful number, since it uses less digits than its factorization.

11106651096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 11106651096 in words is "eleven billion, one hundred six million, six hundred fifty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1097 1368 2052 2194 2467 3291 4104 4388 4934 6582 7401 8776 9868 9873 13164 14802 19736 19746 20843 22203 26328 29604 29619 39492 41686 44406 46873 59208 59238 62529 66609 78984 83372 88812 93746 118476 125058 133218 140619 166744 177624 187492 187587 236952 250116 266436 281238 374984 375174 421857 500232 532872 562476 562761 750348 843714 1124952 1125522 1265571 1500696 1687428 2251044 2531142 2706299 3374856 4502088 5062284 5412598 8118897 10124568 10825196 16237794 21650392 24356691 32475588 48713382 51419681 64951176 73070073 97426764 102839362 146140146 154259043 194853528 205678724 292280292 308518086 411357448 462777129 584560584 617036172 925554258 1234072344 1388331387 1851108516 2776662774 3702217032 5553325548 11106651096