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12453035712 = 263138535849
BaseRepresentation
bin10111001100100001…
…00011111011000000
31012010212120202111220
423212100203323000
5201000434120322
65415411435040
7620412025365
oct134620437300
935125522456
1012453035712
115310461057
1224b65b5a80
131235c851b0
14861c6a46c
154cd40d55c
hex2e6423ec0

12453035712 has 112 divisors (see below), whose sum is σ = 35530840800. Its totient is φ = 3826556928.

The previous prime is 12453035711. The next prime is 12453035713. The reversal of 12453035712 is 21753035421.

It is an interprime number because it is at equal distance from previous prime (12453035711) and next prime (12453035713).

It is not an unprimeable number, because it can be changed into a prime (12453035711) 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, 2126164 + ... + 2132012.

It is an arithmetic number, because the mean of its divisors is an integer number (317239650).

Almost surely, 212453035712 is an apocalyptic number.

12453035712 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 12453035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765420400).

12453035712 is an abundant number, since it is smaller than the sum of its proper divisors (23077805088).

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

12453035712 is a wasteful number, since it uses less digits than its factorization.

12453035712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 12453035712 in words is "twelve billion, four hundred fifty-three million, thirty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 853 1248 1706 2496 2559 3412 5118 5849 6824 10236 11089 11698 13648 17547 20472 22178 23396 27296 33267 35094 40944 44356 46792 54592 66534 70188 76037 81888 88712 93584 133068 140376 152074 163776 177424 187168 228111 266136 280752 304148 354848 374336 456222 532272 561504 608296 709696 912444 1064544 1123008 1216592 1824888 2129088 2433184 3649776 4866368 4989197 7299552 9978394 14599104 14967591 19956788 29935182 39913576 59870364 64859561 79827152 119740728 129719122 159654304 194578683 239481456 259438244 319308608 389157366 478962912 518876488 778314732 957925824 1037752976 1556629464 2075505952 3113258928 4151011904 6226517856 12453035712