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12563699952 = 2432389127867
BaseRepresentation
bin10111011001101101…
…01101100011110000
31012102120211002022110
423230312231203300
5201212301344302
65434403405320
7623224454556
oct135466554360
935376732273
1012563699952
115367976801
122527683840
131252b909ab
14872835bd6
154d7ebcb6c
hex2ecdad8f0

12563699952 has 80 divisors (see below), whose sum is σ = 34248165120. Its totient is φ = 3960777216.

The previous prime is 12563699893. The next prime is 12563699959. The reversal of 12563699952 is 25999636521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12563699892 and 12563699901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12563699959) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34323 + ... + 162189.

It is an arithmetic number, because the mean of its divisors is an integer number (428102064).

Almost surely, 212563699952 is an apocalyptic number.

12563699952 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 12563699952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124082560).

12563699952 is an abundant number, since it is smaller than the sum of its proper divisors (21684465168).

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

12563699952 is a wasteful number, since it uses less digits than its factorization.

12563699952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127990 (or 127984 counting only the distinct ones).

The product of its digits is 7873200, while the sum is 57.

The spelling of 12563699952 in words is "twelve billion, five hundred sixty-three million, six hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 534 552 712 1068 1104 1424 2047 2136 4094 4272 6141 8188 12282 16376 24564 32752 49128 98256 127867 255734 383601 511468 767202 1022936 1534404 2045872 2940941 3068808 5881882 6137616 8822823 11380163 11763764 17645646 22760326 23527528 34140489 35291292 45520652 47055056 68280978 70582584 91041304 136561956 141165168 182082608 261743749 273123912 523487498 546247824 785231247 1046974996 1570462494 2093949992 3140924988 4187899984 6281849976 12563699952