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13074876444 = 22371032396323
BaseRepresentation
bin11000010110101001…
…01100100000011100
31020202012200112122010
430023110230200130
5203234132021234
610001223551220
7642002421210
oct141324544034
936665615563
1013074876444
1155aa477213
12264a8bb510
131304a59ca6
148c069a940
15517ce26e9
hex30b52c81c

13074876444 has 96 divisors (see below), whose sum is σ = 35357736960. Its totient is φ = 3683348928.

The previous prime is 13074876431. The next prime is 13074876497. The reversal of 13074876444 is 44467847031.

It is a junction number, because it is equal to n+sod(n) for n = 13074876393 and 13074876402.

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, 2064667 + ... + 2070989.

It is an arithmetic number, because the mean of its divisors is an integer number (368309760).

Almost surely, 213074876444 is an apocalyptic number.

13074876444 is a gapful number since it is divisible by the number (14) 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 13074876444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678868480).

13074876444 is an abundant number, since it is smaller than the sum of its proper divisors (22282860516).

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

13074876444 is a wasteful number, since it uses less digits than its factorization.

13074876444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 13074876444 in words is "thirteen billion, seventy-four million, eight hundred seventy-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 239 309 412 478 618 717 721 956 1236 1434 1442 1673 2163 2868 2884 3346 4326 5019 6323 6692 8652 10038 12646 18969 20076 24617 25292 37938 44261 49234 73851 75876 88522 98468 132783 147702 172319 177044 265566 295404 344638 516957 531132 651269 689276 1033914 1302538 1511197 1953807 2067828 2605076 3022394 3907614 4533591 4558883 6044788 7815228 9067182 9117766 10578379 13676649 18134364 18235532 21156758 27353298 31735137 42313516 54706596 63470274 126940548 155653291 311306582 466959873 622613164 933919746 1089573037 1867839492 2179146074 3268719111 4358292148 6537438222 13074876444