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12704740640 = 2551930713613
BaseRepresentation
bin10111101010100001…
…01111010100100000
31012210102012200202122
423311100233110200
5202004403200030
65500402403412
7626556341114
oct136520572440
935712180678
1012704740640
11542a549759
122566960568
131276173917
1488746b744
154e557c8e5
hex2f542f520

12704740640 has 96 divisors (see below), whose sum is σ = 31699926720. Its totient is φ = 4798393344.

The previous prime is 12704740619. The next prime is 12704740649. The reversal of 12704740640 is 4604740721.

It is a super-2 number, since 2×127047406402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12704740640.

It is not an unprimeable number, because it can be changed into a prime (12704740649) 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, 926474 + ... + 940086.

It is an arithmetic number, because the mean of its divisors is an integer number (330207570).

Almost surely, 212704740640 is an apocalyptic number.

12704740640 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 12704740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849963360).

12704740640 is an abundant number, since it is smaller than the sum of its proper divisors (18995186080).

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

12704740640 is a wasteful number, since it uses less digits than its factorization.

12704740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 12704740640 in words is "twelve billion, seven hundred four million, seven hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 307 380 608 614 760 1228 1520 1535 2456 3040 3070 4912 5833 6140 9824 11666 12280 13613 23332 24560 27226 29165 46664 49120 54452 58330 68065 93328 108904 116660 136130 186656 217808 233320 258647 272260 435616 466640 517294 544520 933280 1034588 1089040 1293235 2069176 2178080 2586470 4138352 4179191 5172940 8276704 8358382 10345880 16716764 20691760 20895955 33433528 41383520 41791910 66867056 79404629 83583820 133734112 158809258 167167640 317618516 334335280 397023145 635237032 668670560 794046290 1270474064 1588092580 2540948128 3176185160 6352370320 12704740640