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12181501696 = 28713796619
BaseRepresentation
bin10110101100001001…
…01111011100000000
31011102221122101212111
423112010233130000
5144421431023241
65332431505104
7610604025130
oct132604573400
934387571774
1012181501696
11519115a581
12243b688194
1311c1943090
14837b86ac0
154b4673c81
hex2d612f700

12181501696 has 144 divisors (see below), whose sum is σ = 30310067200. Its totient is φ = 4757336064.

The previous prime is 12181501679. The next prime is 12181501733. The reversal of 12181501696 is 69610518121.

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, 1837075 + ... + 1843693.

Almost surely, 212181501696 is an apocalyptic number.

12181501696 is a gapful number since it is divisible by the number (16) 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 12181501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155033600).

12181501696 is an abundant number, since it is smaller than the sum of its proper divisors (18128565504).

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

12181501696 is an equidigital number, since it uses as much as digits as its factorization.

12181501696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 12181501696 in words is "twelve billion, one hundred eighty-one million, five hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 79 91 104 112 128 158 182 208 224 256 316 364 416 448 553 632 728 832 896 1027 1106 1264 1456 1664 1792 2054 2212 2528 2912 3328 4108 4424 5056 5824 6619 7189 8216 8848 10112 11648 13238 14378 16432 17696 20224 23296 26476 28756 32864 35392 46333 52952 57512 65728 70784 86047 92666 105904 115024 131456 141568 172094 185332 211808 230048 262912 344188 370664 423616 460096 522901 602329 688376 741328 847232 920192 1045802 1204658 1376752 1482656 1694464 1840384 2091604 2409316 2753504 2965312 3660307 4183208 4818632 5507008 5930624 6797713 7320614 8366416 9637264 11014016 11861248 13595426 14641228 16732832 19274528 22028032 27190852 29282456 33465664 38549056 47583991 54381704 58564912 66931328 77098112 95167982 108763408 117129824 133862656 154196224 190335964 217526816 234259648 380671928 435053632 468519296 761343856 870107264 937038592 1522687712 1740214528 3045375424 6090750848 12181501696