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12253670832 = 243133131887
BaseRepresentation
bin10110110100110000…
…00010110110110000
31011121222102222022110
423122120002312300
5200043414431312
65343530405320
7612441324564
oct133230026660
934558388273
1012253670832
115218972297
12245b890840
131203891000
148435b16a4
154bab7c43c
hex2da602db0

12253670832 has 160 divisors (see below), whose sum is σ = 34592785920. Its totient is φ = 3737360640.

The previous prime is 12253670809. The next prime is 12253670833. The reversal of 12253670832 is 23807635221.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12253670833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13814293 + ... + 13815179.

It is an arithmetic number, because the mean of its divisors is an integer number (216204912).

Almost surely, 212253670832 is an apocalyptic number.

12253670832 is a gapful number since it is divisible by the number (12) 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 12253670832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296392960).

12253670832 is an abundant number, since it is smaller than the sum of its proper divisors (22339115088).

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

12253670832 is a wasteful number, since it uses less digits than its factorization.

12253670832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 12253670832 in words is "twelve billion, two hundred fifty-three million, six hundred seventy thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 169 208 262 312 338 393 507 524 624 676 786 887 1014 1048 1352 1572 1703 1774 2028 2096 2197 2661 2704 3144 3406 3548 4056 4394 5109 5322 6288 6591 6812 7096 8112 8788 10218 10644 11531 13182 13624 14192 17576 20436 21288 22139 23062 26364 27248 34593 35152 40872 42576 44278 46124 52728 66417 69186 81744 88556 92248 105456 116197 132834 138372 149903 177112 184496 232394 265668 276744 287807 299806 348591 354224 449709 464788 531336 553488 575614 599612 697182 863421 899418 929576 1062672 1151228 1199224 1394364 1510561 1726842 1798836 1859152 1948739 2302456 2398448 2788728 3021122 3453684 3597672 3897478 4531683 4604912 5577456 5846217 6042244 6907368 7195344 7794956 9063366 11692434 12084488 13814736 15589912 18126732 19637293 23384868 24168976 31179824 36253464 39274586 46769736 58911879 72506928 78549172 93539472 117823758 157098344 235647516 255284809 314196688 471295032 510569618 765854427 942590064 1021139236 1531708854 2042278472 3063417708 4084556944 6126835416 12253670832