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12333256896 = 263199973391
BaseRepresentation
bin10110111110001111…
…01001000011000000
31011211112012100212110
423133013221003000
5200224303210041
65355452255320
7614425645122
oct133707510300
934745170773
1012333256896
1152598904a4
122482471540
131217207b5c
1484ddab212
154c2b4d516
hex2df1e90c0

12333256896 has 112 divisors (see below), whose sum is σ = 34393794560. Its totient is φ = 3889658880.

The previous prime is 12333256891. The next prime is 12333256937. The reversal of 12333256896 is 69865233321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12333256891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3635361 + ... + 3638751.

Almost surely, 212333256896 is an apocalyptic number.

12333256896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196897280).

12333256896 is an abundant number, since it is smaller than the sum of its proper divisors (22060537664).

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

12333256896 is a wasteful number, since it uses less digits than its factorization.

12333256896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4412 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The spelling of 12333256896 in words is "twelve billion, three hundred thirty-three million, two hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 997 1216 1824 1994 2991 3391 3648 3988 5982 6782 7976 10173 11964 13564 15952 18943 20346 23928 27128 31904 37886 40692 47856 54256 56829 63808 64429 75772 81384 95712 108512 113658 128858 151544 162768 191424 193287 217024 227316 257716 303088 325536 386574 454632 515432 606176 651072 773148 909264 1030864 1212352 1546296 1818528 2061728 3092592 3380827 3637056 4123456 6185184 6761654 10142481 12370368 13523308 20284962 27046616 40569924 54093232 64235713 81139848 108186464 128471426 162279696 192707139 216372928 256942852 324559392 385414278 513885704 649118784 770828556 1027771408 1541657112 2055542816 3083314224 4111085632 6166628448 12333256896