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11181021696 = 293213186649
BaseRepresentation
bin10100110100111000…
…01101101000000000
31001212020001202022200
422122130031220000
5140344320143241
65045252033200
7544035054615
oct123234155000
931766052280
1011181021696
1148184390a9
122200602800
131092598590
14780d5250c
154568ea4b6
hex29a70da00

11181021696 has 120 divisors (see below), whose sum is σ = 34751616900. Its totient is φ = 3440295936.

The previous prime is 11181021617. The next prime is 11181021757. The reversal of 11181021696 is 69612018111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10799366400 + 381655296 = 103920^2 + 19536^2 .

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 11181021696.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33421 + ... + 153228.

Almost surely, 211181021696 is an apocalyptic number.

11181021696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11181021696 is an abundant number, since it is smaller than the sum of its proper divisors (23570595204).

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

11181021696 is a wasteful number, since it uses less digits than its factorization.

11181021696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186686 (or 186667 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11181021696 in words is "eleven billion, one hundred eighty-one million, twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 186649 373298 559947 746596 1119894 1493192 1679841 2239788 2426437 2986384 3359682 4479576 4852874 5972768 6719364 7279311 8959152 9705748 11945536 13438728 14558622 17918304 19411496 21837933 23891072 26877456 29117244 35836608 38822992 43675866 47782144 53754912 58234488 71673216 77645984 87351732 95564288 107509824 116468976 143346432 155291968 174703464 215019648 232937952 286692864 310583936 349406928 430039296 465875904 621167872 698813856 860078592 931751808 1242335744 1397627712 1863503616 2795255424 3727007232 5590510848 11181021696