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12849243360 = 253567739541
BaseRepresentation
bin10111111011101111…
…11110010011100000
31020011111010012020020
423331313332103200
5202303401241420
65523003513440
7633262523622
oct137567762340
936144105206
1012849243360
1154a4076798
1225a7228880
13129a0995a5
1489c724c12
155030c3340
hex2fddfe4e0

12849243360 has 96 divisors (see below), whose sum is σ = 40535927712. Its totient is φ = 3421317120.

The previous prime is 12849243347. The next prime is 12849243367. The reversal of 12849243360 is 6334294821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12849243367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305190 + ... + 344730.

It is an arithmetic number, because the mean of its divisors is an integer number (422249247).

Almost surely, 212849243360 is an apocalyptic number.

12849243360 is a gapful number since it is divisible by the number (10) 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 12849243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267963856).

12849243360 is an abundant number, since it is smaller than the sum of its proper divisors (27686684352).

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

12849243360 is a wasteful number, since it uses less digits than its factorization.

12849243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40236 (or 40228 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 12849243360 in words is "twelve billion, eight hundred forty-nine million, two hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 677 1354 2031 2708 3385 4062 5416 6770 8124 10155 10832 13540 16248 20310 21664 27080 32496 39541 40620 54160 64992 79082 81240 108320 118623 158164 162480 197705 237246 316328 324960 395410 474492 593115 632656 790820 948984 1186230 1265312 1581640 1897968 2372460 3163280 3795936 4744920 6326560 9489840 18979680 26769257 53538514 80307771 107077028 133846285 160615542 214154056 267692570 321231084 401538855 428308112 535385140 642462168 803077710 856616224 1070770280 1284924336 1606155420 2141540560 2569848672 3212310840 4283081120 6424621680 12849243360