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11231646426 = 23272111389051
BaseRepresentation
bin10100111010111010…
…10101001011011010
31001222202022202101200
422131131111023122
5141000300141201
65054301055030
7545221263600
oct123535251332
931882282350
1011231646426
114843a76220
122215557476
13109cc12140
1478796d870
1545b09a386
hex29d7552da

11231646426 has 144 divisors (see below), whose sum is σ = 33257716128. Its totient is φ = 2692872000.

The previous prime is 11231646409. The next prime is 11231646443. The reversal of 11231646426 is 62464613211.

11231646426 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 6 + 4 + 642 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11231646409) and next prime (11231646443).

It is a super-2 number, since 2×112316464262 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81601 + ... + 170651.

It is an arithmetic number, because the mean of its divisors is an integer number (230956362).

Almost surely, 211231646426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231646426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628858064).

11231646426 is an abundant number, since it is smaller than the sum of its proper divisors (22026069702).

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

11231646426 is a wasteful number, since it uses less digits than its factorization.

11231646426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89097 (or 89087 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 11231646426 in words is "eleven billion, two hundred thirty-one million, six hundred forty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 49 63 66 77 78 91 98 99 117 126 143 147 154 182 198 231 234 273 286 294 429 441 462 539 546 637 693 819 858 882 1001 1078 1274 1287 1386 1617 1638 1911 2002 2574 3003 3234 3822 4851 5733 6006 7007 9009 9702 11466 14014 18018 21021 42042 63063 89051 126126 178102 267153 534306 623357 801459 979561 1157663 1246714 1602918 1870071 1959122 2315326 2938683 3472989 3740142 4363499 5610213 5877366 6856927 6945978 8103641 8726998 8816049 10418967 11220426 12734293 13090497 13713854 16207282 17632098 20570781 20837934 24310923 25468586 26180994 38202879 39271491 41141562 47998489 48621846 56725487 61712343 72932769 76405758 78542982 89140051 95996978 113450974 114608637 123424686 143995467 145865538 170176461 178280102 229217274 267420153 287990934 340352922 431986401 510529383 534840306 623980357 802260459 863972802 1021058766 1247960714 1604520918 1871941071 3743882142 5615823213 11231646426