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12839609040 = 24351716131951
BaseRepresentation
bin10111111010100110…
…01110001011010000
31020010210222201102120
423331103032023100
5202243414442130
65522021214240
7633114606336
oct137523161320
936123881376
1012839609040
115499696345
1225a3b61380
1312980a52cb
1489b337b56
1550231d910
hex2fd4ce2d0

12839609040 has 160 divisors (see below), whose sum is σ = 42191870976. Its totient is φ = 3218841600.

The previous prime is 12839609011. The next prime is 12839609051. The reversal of 12839609040 is 4090693821.

It is a junction number, because it is equal to n+sod(n) for n = 12839608983 and 12839609001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6580065 + ... + 6582015.

Almost surely, 212839609040 is an apocalyptic number.

12839609040 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 12839609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21095935488).

12839609040 is an abundant number, since it is smaller than the sum of its proper divisors (29352261936).

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

12839609040 is a wasteful number, since it uses less digits than its factorization.

12839609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 12839609040 in words is "twelve billion, eight hundred thirty-nine million, six hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 1613 1951 2040 3226 3902 4080 4839 5853 6452 7804 8065 9678 9755 11706 12904 15608 16130 19356 19510 23412 24195 25808 27421 29265 31216 32260 33167 38712 39020 46824 48390 54842 58530 64520 66334 77424 78040 82263 93648 96780 99501 109684 117060 129040 132668 137105 156080 164526 165835 193560 199002 219368 234120 265336 274210 329052 331670 387120 398004 411315 438736 468240 497505 530672 548420 658104 663340 796008 822630 995010 1096840 1316208 1326680 1592016 1645260 1990020 2193680 2653360 3146963 3290520 3980040 6293926 6581040 7960080 9440889 12587852 15734815 18881778 25175704 31469630 37763556 47204445 50351408 53498371 62939260 75527112 94408890 106996742 125878520 151054224 160495113 188817780 213993484 251757040 267491855 320990226 377635560 427986968 534983710 641980452 755271120 802475565 855973936 1069967420 1283960904 1604951130 2139934840 2567921808 3209902260 4279869680 6419804520 12839609040