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12805298760 = 23352341113161
BaseRepresentation
bin10111110110100000…
…10101101001001000
31020001102102120120110
423323100111221020
5202211124030020
65514353554320
7632220146352
oct137320255110
936042376513
1012805298760
115481291541
1225945759a0
131290c51477
148969660d2
154ee2e28e0
hex2fb415a48

12805298760 has 128 divisors (see below), whose sum is σ = 41064226560. Its totient is φ = 3186585600.

The previous prime is 12805298749. The next prime is 12805298761. The reversal of 12805298760 is 6789250821.

It is not an unprimeable number, because it can be changed into a prime (12805298761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56580 + ... + 169740.

It is an arithmetic number, because the mean of its divisors is an integer number (320814270).

Almost surely, 212805298760 is an apocalyptic number.

12805298760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 113160×113161.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12805298760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532113280).

12805298760 is an abundant number, since it is smaller than the sum of its proper divisors (28258927800).

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

12805298760 is a wasteful number, since it uses less digits than its factorization.

12805298760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113239 (or 113235 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 12805298760 in words is "twelve billion, eight hundred five million, two hundred ninety-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 92 115 120 123 138 164 184 205 230 246 276 328 345 410 460 492 552 615 690 820 920 943 984 1230 1380 1640 1886 2460 2760 2829 3772 4715 4920 5658 7544 9430 11316 14145 18860 22632 28290 37720 56580 113160 113161 226322 339483 452644 565805 678966 905288 1131610 1357932 1697415 2263220 2602703 2715864 3394830 4526440 4639601 5205406 6789660 7808109 9279202 10410812 13013515 13579320 13918803 15616218 18558404 20821624 23198005 26027030 27837606 31232436 37116808 39040545 46396010 52054060 55675212 62464872 69594015 78081090 92792020 104108120 106710823 111350424 139188030 156162180 185584040 213421646 278376060 312324360 320132469 426843292 533554115 556752120 640264938 853686584 1067108230 1280529876 1600662345 2134216460 2561059752 3201324690 4268432920 6402649380 12805298760