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12683291640 = 2335314877001
BaseRepresentation
bin10111100111111101…
…11010101111111000
31012201220211222021020
423303332322233320
5201433410313030
65454314542440
7626206125435
oct136376725770
935656758236
1012683291640
115419429808
12255b737a20
1312718a3ac6
14884686b8c
154e3742510
hex2f3fbabf8

12683291640 has 128 divisors (see below), whose sum is σ = 39363563520. Its totient is φ = 3265920000.

The previous prime is 12683291639. The next prime is 12683291651. The reversal of 12683291640 is 4619238621.

It is a junction number, because it is equal to n+sod(n) for n = 12683291592 and 12683291601.

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, 1808140 + ... + 1815140.

It is an arithmetic number, because the mean of its divisors is an integer number (307527840).

Almost surely, 212683291640 is an apocalyptic number.

12683291640 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 12683291640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681781760).

12683291640 is an abundant number, since it is smaller than the sum of its proper divisors (26680271880).

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

12683291640 is a wasteful number, since it uses less digits than its factorization.

12683291640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12683291640 in words is "twelve billion, six hundred eighty-three million, two hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 487 620 744 930 974 1240 1461 1860 1948 2435 2922 3720 3896 4870 5844 7001 7305 9740 11688 14002 14610 15097 19480 21003 28004 29220 30194 35005 42006 45291 56008 58440 60388 70010 75485 84012 90582 105015 120776 140020 150970 168024 181164 210030 217031 226455 280040 301940 362328 420060 434062 452910 603880 651093 840120 868124 905820 1085155 1302186 1736248 1811640 2170310 2604372 3255465 3409487 4340620 5208744 6510930 6818974 8681240 10228461 13021860 13637948 17047435 20456922 26043720 27275896 34094870 40913844 51142305 68189740 81827688 102284610 105694097 136379480 204569220 211388194 317082291 409138440 422776388 528470485 634164582 845552776 1056940970 1268329164 1585411455 2113881940 2536658328 3170822910 4227763880 6341645820 12683291640