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12840404520 = 23353715491867
BaseRepresentation
bin10111111010101100…
…10000011000101000
31020010212111010121210
423331112100120220
5202244120421040
65522050233120
7633124431456
oct137526203050
936125433553
1012840404520
11549a089a69
1225a42857a0
1312982c33c8
1489b4a39d6
15502429480
hex2fd590628

12840404520 has 128 divisors (see below), whose sum is σ = 39609072000. Its totient is φ = 3327630336.

The previous prime is 12840404513. The next prime is 12840404561. The reversal of 12840404520 is 2540404821.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6876627 + ... + 6878493.

It is an arithmetic number, because the mean of its divisors is an integer number (309445875).

Almost surely, 212840404520 is an apocalyptic number.

12840404520 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 12840404520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804536000).

12840404520 is an abundant number, since it is smaller than the sum of its proper divisors (26768667480).

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

12840404520 is a wasteful number, since it uses less digits than its factorization.

12840404520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 12840404520 in words is "twelve billion, eight hundred forty million, four hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1549 1867 2220 3098 3734 4440 4647 5601 6196 7468 7745 9294 9335 11202 12392 14936 15490 18588 18670 22404 23235 28005 30980 37176 37340 44808 46470 56010 57313 61960 69079 74680 92940 112020 114626 138158 171939 185880 207237 224040 229252 276316 286565 343878 345395 414474 458504 552632 573130 687756 690790 828948 859695 1036185 1146260 1375512 1381580 1657896 1719390 2072370 2292520 2763160 2891983 3438780 4144740 5783966 6877560 8289480 8675949 11567932 14459915 17351898 23135864 28919830 34703796 43379745 57839660 69407592 86759490 107003371 115679320 173518980 214006742 321010113 347037960 428013484 535016855 642020226 856026968 1070033710 1284040452 1605050565 2140067420 2568080904 3210101130 4280134840 6420202260 12840404520