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12812502740 = 22531431134253
BaseRepresentation
bin10111110111010111…
…10100011011010100
31020001220222120120112
423323223310123110
5202220000041430
65515212222152
7632335322252
oct137353643324
936056876515
1012812502740
115485361a44
122596a6a958
1312925a448b
148978bd5d2
154eec67195
hex2fbaf46d4

12812502740 has 96 divisors (see below), whose sum is σ = 28678358016. Its totient is φ = 4800337920.

The previous prime is 12812502721. The next prime is 12812502743. The reversal of 12812502740 is 4720521821.

It is a junction number, because it is equal to n+sod(n) for n = 12812502697 and 12812502706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812502743) 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, 3010454 + ... + 3014706.

It is an arithmetic number, because the mean of its divisors is an integer number (298732896).

Almost surely, 212812502740 is an apocalyptic number.

12812502740 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 12812502740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339179008).

12812502740 is an abundant number, since it is smaller than the sum of its proper divisors (15865855276).

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

12812502740 is a wasteful number, since it uses less digits than its factorization.

12812502740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 12812502740 in words is "twelve billion, eight hundred twelve million, five hundred two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 43 62 86 113 124 155 172 215 226 310 430 452 565 620 860 1130 1333 2260 2666 3503 4253 4859 5332 6665 7006 8506 9718 13330 14012 17012 17515 19436 21265 24295 26660 35030 42530 48590 70060 85060 97180 131843 150629 182879 263686 301258 365758 480589 527372 602516 659215 731516 753145 914395 961178 1318430 1506290 1828790 1922356 2402945 2636860 3012580 3657580 4805890 5669249 9611780 11338498 14898259 20665327 22676996 28346245 29796518 41330654 56692490 59593036 74491295 82661308 103326635 113384980 148982590 206653270 297965180 413306540 640625137 1281250274 2562500548 3203125685 6406251370 12812502740