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11199940416 = 26337925921
BaseRepresentation
bin10100110111001000…
…11000011101000000
31001220112122220221000
422123210120131000
5140414141043131
65051205332000
7544354631340
oct123344303500
931815586830
1011199940416
114828090005
122206a07000
1310964907a2
14783678d20
154583d5ce6
hex29b918740

11199940416 has 112 divisors (see below), whose sum is σ = 37629470080. Its totient is φ = 3199979520.

The previous prime is 11199940397. The next prime is 11199940457. The reversal of 11199940416 is 61404999111.

11199940416 is a `hidden beast` number, since 1 + 1 + 199 + 9 + 40 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450865 + ... + 475056.

Almost surely, 211199940416 is an apocalyptic number.

11199940416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11199940416 is an abundant number, since it is smaller than the sum of its proper divisors (26429529664).

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

11199940416 is an equidigital number, since it uses as much as digits as its factorization.

11199940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925949 (or 925933 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 11199940416 in words is "eleven billion, one hundred ninety-nine million, nine hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 925921 1851842 2777763 3703684 5555526 6481447 7407368 8333289 11111052 12962894 14814736 16666578 19444341 22222104 24999867 25925788 29629472 33333156 38888682 44444208 49999734 51851576 58333023 59258944 66666312 77777364 88888416 99999468 103703152 116666046 133332624 155554728 174999069 177776832 199998936 207406304 233332092 266665248 311109456 349998138 399997872 414812608 466664184 533330496 622218912 699996276 799995744 933328368 1244437824 1399992552 1599991488 1866656736 2799985104 3733313472 5599970208 11199940416