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12843416544 = 253719112227
BaseRepresentation
bin10111111011000011…
…01111101111100000
31020011002011011100020
423331201233233200
5202300403312134
65522234553440
7633162145050
oct137541575740
936132134306
1012843416544
1154a0856a42
1225a5298880
131298b0937a
1489ba49560
15502821b49
hex2fd86fbe0

12843416544 has 48 divisors (see below), whose sum is σ = 38530251648. Its totient is φ = 3669547392.

The previous prime is 12843416543. The next prime is 12843416563. The reversal of 12843416544 is 44561434821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12843416496 and 12843416505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12843416543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9555442 + ... + 9556785.

It is an arithmetic number, because the mean of its divisors is an integer number (802713576).

Almost surely, 212843416544 is an apocalyptic number.

12843416544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12843416544 is an abundant number, since it is smaller than the sum of its proper divisors (25686835104).

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

12843416544 is a wasteful number, since it uses less digits than its factorization.

12843416544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19112247 (or 19112239 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The spelling of 12843416544 in words is "twelve billion, eight hundred forty-three million, four hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19112227 38224454 57336681 76448908 114673362 133785589 152897816 229346724 267571178 305795632 401356767 458693448 535142356 611591264 802713534 917386896 1070284712 1605427068 1834773792 2140569424 3210854136 4281138848 6421708272 12843416544