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12840791640 = 23354110325339
BaseRepresentation
bin10111111010101111…
…01110111001011000
31020010220012210122120
423331113232321120
5202244220313030
65522102421240
7633130633215
oct137527567130
936126183576
1012840791640
11549a3238a6
1225a4431820
1312983ca681
1489b564b0c
155024a4010
hex2fd5eee58

12840791640 has 128 divisors (see below), whose sum is σ = 39846643200. Its totient is φ = 3308129280.

The previous prime is 12840791629. The next prime is 12840791671. The reversal of 12840791640 is 4619704821.

It is a junction number, because it is equal to n+sod(n) for n = 12840791592 and 12840791601.

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, 494091 + ... + 519429.

It is an arithmetic number, because the mean of its divisors is an integer number (311301900).

Almost surely, 212840791640 is an apocalyptic number.

12840791640 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 12840791640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923321600).

12840791640 is an abundant number, since it is smaller than the sum of its proper divisors (27005851560).

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

12840791640 is a wasteful number, since it uses less digits than its factorization.

12840791640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25497 (or 25493 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12840791640 in words is "twelve billion, eight hundred forty million, seven hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 103 120 123 164 205 206 246 309 328 410 412 492 515 615 618 820 824 984 1030 1230 1236 1545 1640 2060 2460 2472 3090 4120 4223 4920 6180 8446 12360 12669 16892 21115 25338 25339 33784 42230 50676 50678 63345 76017 84460 101352 101356 126690 126695 152034 168920 202712 253380 253390 304068 380085 506760 506780 608136 760170 1013560 1038899 1520340 2077798 2609917 3040680 3116697 4155596 5194495 5219834 6233394 7829751 8311192 10388990 10439668 12466788 13049585 15583485 15659502 20777980 20879336 24933576 26099170 31166970 31319004 39148755 41555960 52198340 62333940 62638008 78297510 104396680 107006597 124667880 156595020 214013194 313190040 321019791 428026388 535032985 642039582 856052776 1070065970 1284079164 1605098955 2140131940 2568158328 3210197910 4280263880 6420395820 12840791640