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12235857804 = 22321979367617
BaseRepresentation
bin10110110010101000…
…00101111110001100
31011120201220222102200
423121110011332030
5200024334422204
65342052521500
7612134034552
oct133124057614
934521828380
1012235857804
115209906085
122455920290
1311ccc95161
14841095bd2
154b930e539
hex2d9505f8c

12235857804 has 144 divisors (see below), whose sum is σ = 33112934400. Its totient is φ = 3798482688.

The previous prime is 12235857787. The next prime is 12235857827. The reversal of 12235857804 is 40875853221.

12235857804 is a `hidden beast` number, since 1 + 2 + 23 + 58 + 578 + 0 + 4 = 666.

12235857804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12235857804.

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 47 ways as a sum of consecutive naturals, for example, 19830904 + ... + 19831520.

Almost surely, 212235857804 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 12235857804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556467200).

12235857804 is an abundant number, since it is smaller than the sum of its proper divisors (20877076596).

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

12235857804 is a wasteful number, since it uses less digits than its factorization.

12235857804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12235857804 in words is "twelve billion, two hundred thirty-five million, eight hundred fifty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 228 237 316 342 367 474 617 684 711 734 948 1101 1234 1422 1468 1501 1851 2202 2468 2844 3002 3303 3702 4404 4503 5553 6004 6606 6973 7404 9006 11106 11723 13212 13509 13946 18012 20919 22212 23446 27018 27892 28993 35169 41838 46892 48743 54036 57986 62757 70338 83676 86979 97486 105507 115972 125514 140676 146229 173958 194972 211014 226439 251028 260937 292458 347916 422028 438687 452878 521874 550867 584916 679317 877374 905756 926117 1043748 1101734 1358634 1652601 1754748 1852234 2037951 2203468 2717268 2778351 3305202 3704468 4075902 4302341 4957803 5556702 6610404 8151804 8335053 8604682 9915606 11113404 12907023 16670106 17209364 17888681 19831212 25814046 33340212 35777362 38721069 51628092 53666043 71554724 77442138 107332086 154884276 160998129 214664172 321996258 339884939 643992516 679769878 1019654817 1359539756 2039309634 3058964451 4078619268 6117928902 12235857804