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12793586240 = 265238919531
BaseRepresentation
bin10111110101000111…
…01010001001000000
31020000121101112000102
423322203222021000
5202200124224430
65513254541532
7632015455151
oct137243521100
936017345012
1012793586240
115475711776
1225906678a8
13128b6b0296
14895197928
154ed27c345
hex2fa8ea240

12793586240 has 112 divisors (see below), whose sum is σ = 32148109440. Its totient is φ = 4839690240.

The previous prime is 12793586233. The next prime is 12793586269. The reversal of 12793586240 is 4268539721.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645275 + ... + 664805.

It is a 1-persistent number, because it is pandigital, but 2⋅12793586240 = 25587172480 is not.

Almost surely, 212793586240 is an apocalyptic number.

12793586240 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 12793586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074054720).

12793586240 is an abundant number, since it is smaller than the sum of its proper divisors (19354523200).

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

12793586240 is a wasteful number, since it uses less digits than its factorization.

12793586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19660 (or 19650 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 12793586240 in words is "twelve billion, seven hundred ninety-three million, five hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 89 92 115 160 178 184 230 320 356 368 445 460 712 736 890 920 1424 1472 1780 1840 2047 2848 3560 3680 4094 5696 7120 7360 8188 10235 14240 16376 19531 20470 28480 32752 39062 40940 65504 78124 81880 97655 131008 156248 163760 195310 312496 327520 390620 449213 624992 655040 781240 898426 1249984 1562480 1738259 1796852 2246065 3124960 3476518 3593704 4492130 6249920 6953036 7187408 8691295 8984260 13906072 14374816 17382590 17968520 27812144 28749632 34765180 35937040 39979957 55624288 69530360 71874080 79959914 111248576 139060720 143748160 159919828 199899785 278121440 319839656 399799570 556242880 639679312 799599140 1279358624 1599198280 2558717248 3198396560 6396793120 12793586240