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12594117396 = 22372195931901
BaseRepresentation
bin10111011101010101…
…01111101100010100
31012111201001110012110
423232222233230110
5201243043224041
65441411351020
7624044142300
oct135652575424
935451043173
1012594117396
115383061893
1225358b2470
131259280993
148768b2d00
154da9ca516
hex2eeaafb14

12594117396 has 144 divisors (see below), whose sum is σ = 36062832960. Its totient is φ = 3401395200.

The previous prime is 12594117391. The next prime is 12594117407. The reversal of 12594117396 is 69371149521.

It is a super-2 number, since 2×125941173962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12594117391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6624046 + ... + 6625946.

It is an arithmetic number, because the mean of its divisors is an integer number (250436340).

Almost surely, 212594117396 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 12594117396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031416480).

12594117396 is an abundant number, since it is smaller than the sum of its proper divisors (23468715564).

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

12594117396 is a wasteful number, since it uses less digits than its factorization.

12594117396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2525 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The spelling of 12594117396 in words is "twelve billion, five hundred ninety-four million, one hundred seventeen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 593 798 931 1186 1596 1779 1862 1901 2372 2793 3558 3724 3802 4151 5586 5703 7116 7604 8302 11172 11267 11406 12453 13307 16604 22534 22812 24906 26614 29057 33801 36119 39921 45068 49812 53228 58114 67602 72238 78869 79842 87171 93149 108357 116228 135204 144476 157738 159684 174342 186298 216714 236607 252833 279447 315476 348684 372596 433428 473214 505666 552083 558894 758499 946428 1011332 1104166 1117788 1127293 1516998 1656249 1769831 2208332 2254586 3033996 3312498 3381879 3539662 4509172 5309493 6624996 6763758 7079324 7891051 10618986 13527516 15782102 21237972 21418567 23673153 31564204 42837134 47346306 55237357 64255701 85674268 94692612 110474714 128511402 149929969 165712071 220949428 257022804 299859938 331424142 449789907 599719876 662848284 899579814 1049509783 1799159628 2099019566 3148529349 4198039132 6297058698 12594117396