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12193597248 = 263727893253
BaseRepresentation
bin10110101101100101…
…11000011101000000
31011110210101220211220
423112302320131000
5144433030102443
65333543035040
7611111603130
oct132662703500
934423356756
1012193597248
115197a710a8
12244373ba80
1311c42b9701
14839614ac0
154b5762a83
hex2d6cb8740

12193597248 has 112 divisors (see below), whose sum is σ = 36895674240. Its totient is φ = 3481565184.

The previous prime is 12193597237. The next prime is 12193597253. The reversal of 12193597248 is 84279539121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12193597248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3746790 + ... + 3750042.

Almost surely, 212193597248 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 12193597248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18447837120).

12193597248 is an abundant number, since it is smaller than the sum of its proper divisors (24702076992).

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

12193597248 is a wasteful number, since it uses less digits than its factorization.

12193597248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6054 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The spelling of 12193597248 in words is "twelve billion, one hundred ninety-three million, five hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2789 3253 5578 6506 8367 9759 11156 13012 16734 19518 19523 22312 22771 26024 33468 39036 39046 44624 45542 52048 58569 66936 68313 78072 78092 89248 91084 104096 117138 133872 136626 156144 156184 178496 182168 208192 234276 267744 273252 312288 312368 364336 468552 535488 546504 624576 624736 728672 937104 1093008 1249472 1457344 1874208 2186016 3748416 4372032 9072617 18145234 27217851 36290468 54435702 63508319 72580936 108871404 127016638 145161872 190524957 217742808 254033276 290323744 381049914 435485616 508066552 580647488 762099828 870971232 1016133104 1524199656 1741942464 2032266208 3048399312 4064532416 6096798624 12193597248