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11149475904 = 26337921749
BaseRepresentation
bin10100110001000111…
…11000000001000000
31001210000201001122000
422120203320001000
5140313231212104
65042203544000
7543202660440
oct123043700100
931700631560
1011149475904
1148016522a6
1221b1b2b000
131088ba1b28
1477aaa0120
15453c68639
hex2988f8040

11149475904 has 112 divisors (see below), whose sum is σ = 37459920000. Its totient is φ = 3185561088.

The previous prime is 11149475881. The next prime is 11149475921. The reversal of 11149475904 is 40957494111.

11149475904 is a `hidden beast` number, since 1 + 1 + 1 + 494 + 75 + 90 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11149475904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448779 + ... + 472970.

Almost surely, 211149475904 is an apocalyptic number.

11149475904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11149475904 is an abundant number, since it is smaller than the sum of its proper divisors (26310444096).

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

11149475904 is an equidigital number, since it uses as much as digits as its factorization.

11149475904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921777 (or 921761 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11149475904 in words is "eleven billion, one hundred forty-nine million, four hundred seventy-five thousand, nine hundred four".

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 921749 1843498 2765247 3686996 5530494 6452243 7373992 8295741 11060988 12904486 14747984 16591482 19356729 22121976 24887223 25808972 29495968 33182964 38713458 44243952 49774446 51617944 58070187 58991936 66365928 77426916 88487904 99548892 103235888 116140374 132731856 154853832 174210561 176975808 199097784 206471776 232280748 265463712 309707664 348421122 398195568 412943552 464561496 530927424 619415328 696842244 796391136 929122992 1238830656 1393684488 1592782272 1858245984 2787368976 3716491968 5574737952 11149475904