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12381097248 = 25321323143779
BaseRepresentation
bin10111000011111100…
…01000110100100000
31011221212012220111100
423201332020310200
5200324030102443
65404321514400
7615546406302
oct134176106440
934855186440
1012381097248
115283896683
1224964a2a00
1312240b8260
148564a1972
154c6e4d3d3
hex2e1f88d20

12381097248 has 144 divisors (see below), whose sum is σ = 39565955520. Its totient is φ = 3643909632.

The previous prime is 12381097241. The next prime is 12381097279. The reversal of 12381097248 is 84279018321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12381097241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14223 + ... + 158001.

It is an arithmetic number, because the mean of its divisors is an integer number (274763580).

Almost surely, 212381097248 is an apocalyptic number.

12381097248 is a gapful number since it is divisible by the number (18) 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 12381097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19782977760).

12381097248 is an abundant number, since it is smaller than the sum of its proper divisors (27184858272).

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

12381097248 is a wasteful number, since it uses less digits than its factorization.

12381097248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143831 (or 143820 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12381097248 in words is "twelve billion, three hundred eighty-one million, ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 4784 5382 6624 7176 9568 10764 14352 21528 28704 43056 86112 143779 287558 431337 575116 862674 1150232 1294011 1725348 1869127 2300464 2588022 3306917 3450696 3738254 4600928 5176044 5607381 6613834 6901392 7476508 9920751 10352088 11214762 13227668 13802784 14953016 16822143 19841502 20704176 22429524 26455336 29762253 29906032 33644286 39683004 41408352 42989921 44859048 52910672 59524506 59812064 67288572 79366008 85979842 89718096 105821344 119049012 128969763 134577144 158732016 171959684 179436192 238098024 257939526 269154288 317464032 343919368 386909289 476196048 515879052 538308576 687838736 773818578 952392096 1031758104 1375677472 1547637156 2063516208 3095274312 4127032416 6190548624 12381097248