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12298391136 = 253319749171
BaseRepresentation
bin10110111010000101…
…01000111001100000
31011202002121000001000
423131002220321200
5200141342004021
65352205112000
7613523412513
oct133502507140
934662530030
1012298391136
115241137319
122472858600
13120cc1b225
148494d2d7a
154bea62b26
hex2dd0a8e60

12298391136 has 96 divisors (see below), whose sum is σ = 37758268800. Its totient is φ = 3883697280.

The previous prime is 12298391099. The next prime is 12298391153. The reversal of 12298391136 is 63119389221.

It is a happy number.

12298391136 is a `hidden beast` number, since 1 + 229 + 8 + 391 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12298391091 and 12298391100.

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, 358170 + ... + 391001.

It is an arithmetic number, because the mean of its divisors is an integer number (393315300).

Almost surely, 212298391136 is an apocalyptic number.

12298391136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12298391136 is an abundant number, since it is smaller than the sum of its proper divisors (25459877664).

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

12298391136 is a wasteful number, since it uses less digits than its factorization.

12298391136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749209 (or 749195 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 12298391136 in words is "twelve billion, two hundred ninety-eight million, three hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 749171 1498342 2247513 2996684 4495026 5993368 6742539 8990052 11986736 13485078 14234249 17980104 20227617 23973472 26970156 28468498 35960208 40455234 42702747 53940312 56936996 71920416 80910468 85405494 107880624 113873992 128108241 161820936 170810988 215761248 227747984 256216482 323641872 341621976 384324723 455495968 512432964 647283744 683243952 768649446 1024865928 1366487904 1537298892 2049731856 3074597784 4099463712 6149195568 12298391136