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11430839952 = 243273231431
BaseRepresentation
bin10101010010101010…
…01100011010010000
31002111122010211112200
422221111030122100
5141402243334302
65130134323200
7553160352000
oct125125143220
932448124480
1011430839952
114936458274
1222701b9500
13110227632c
147a61c2000
1546d7e581c
hex2a954c690

11430839952 has 120 divisors (see below), whose sum is σ = 37306838400. Its totient is φ = 3265940160.

The previous prime is 11430839909. The next prime is 11430840007. The reversal of 11430839952 is 25993803411.

It is a happy number.

11430839952 is a `hidden beast` number, since 1 + 1 + 430 + 83 + 99 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11430839898 and 11430839907.

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, 66324 + ... + 165107.

It is an arithmetic number, because the mean of its divisors is an integer number (310890320).

Almost surely, 211430839952 is an apocalyptic number.

11430839952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11430839952 is an abundant number, since it is smaller than the sum of its proper divisors (25875998448).

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

11430839952 is a wasteful number, since it uses less digits than its factorization.

11430839952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231466 (or 231443 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11430839952 in words is "eleven billion, four hundred thirty million, eight hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392 231431 462862 694293 925724 1388586 1620017 1851448 2082879 2777172 3240034 3702896 4165758 4860051 5554344 6480068 8331516 9720102 11108688 11340119 12960136 14580153 16663032 19440204 22680238 25920272 29160306 33326064 34020357 38880408 45360476 58320612 68040714 77760816 79380833 90720952 102061071 116641224 136081428 158761666 181441904 204122142 233282448 238142499 272162856 317523332 408244284 476284998 544325712 635046664 714427497 816488568 952569996 1270093328 1428854994 1632977136 1905139992 2857709988 3810279984 5715419976 11430839952