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12307772048 = 24111323323087
BaseRepresentation
bin10110111011001100…
…11011001010010000
31011202202020121020012
423131212123022100
5200201242201143
65353142134052
7613666223225
oct133546331220
934682217205
1012307772048
115246464340
122475a21328
131211b54070
1484a85594c
154c07b7418
hex2dd99b290

12307772048 has 80 divisors (see below), whose sum is σ = 28136699136. Its totient is φ = 5141713920.

The previous prime is 12307772023. The next prime is 12307772107. The reversal of 12307772048 is 84027770321.

12307772048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123077720482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12307771996 and 12307772014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521561 + ... + 544647.

Almost surely, 212307772048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12307772048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14068349568).

12307772048 is an abundant number, since it is smaller than the sum of its proper divisors (15828927088).

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

12307772048 is a wasteful number, since it uses less digits than its factorization.

12307772048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23352 (or 23346 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The spelling of 12307772048 in words is "twelve billion, three hundred seven million, seven hundred seventy-two thousand, forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 233 286 466 572 932 1144 1864 2288 2563 3029 3728 5126 6058 10252 12116 20504 23087 24232 33319 41008 46174 48464 66638 92348 133276 184696 253957 266552 300131 369392 507914 533104 600262 1015828 1200524 2031656 2401048 3301441 4063312 4802096 5379271 6602882 10758542 13205764 21517084 26411528 43034168 52823056 59171981 69930523 86068336 118343962 139861046 236687924 279722092 473375848 559444184 769235753 946751696 1118888368 1538471506 3076943012 6153886024 12307772048