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13912836768 = 2532298212029
BaseRepresentation
bin11001111010100010…
…10000101010100000
31022220121110100002200
430331101100222200
5211443141234033
610220320213200
71001526106215
oct147521205240
938817410080
1013912836768
11599a485206
12284346a200
1314095411bc
1495daa7b0c
15566667013
hex33d450aa0

13912836768 has 144 divisors (see below), whose sum is σ = 40998976200. Its totient is φ = 4470036480.

The previous prime is 13912836731. The next prime is 13912836823. The reversal of 13912836768 is 86763821931.

It can be written as a sum of positive squares in 4 ways, for example, as 13602090384 + 310746384 = 116628^2 + 17628^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6855978 + ... + 6858006.

Almost surely, 213912836768 is an apocalyptic number.

13912836768 is a gapful number since it is divisible by the number (18) 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 13912836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499488100).

13912836768 is an abundant number, since it is smaller than the sum of its proper divisors (27086139432).

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

13912836768 is a wasteful number, since it uses less digits than its factorization.

13912836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2884 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 13912836768 in words is "thirteen billion, nine hundred twelve million, eight hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 821 928 1044 1392 1642 2029 2088 2463 2784 3284 4058 4176 4926 6087 6568 7389 8116 8352 9852 12174 13136 14778 16232 18261 19704 23809 24348 26272 29556 32464 36522 39408 47618 48696 58841 59112 64928 71427 73044 78816 95236 97392 117682 118224 142854 146088 176523 190472 194784 214281 235364 236448 285708 292176 353046 380944 428562 470728 529569 571416 584352 706092 761888 857124 941456 1059138 1142832 1412184 1665809 1714248 1882912 2118276 2285664 2824368 3331618 3428496 4236552 4997427 5648736 6663236 6856992 8473104 9994854 13326472 14992281 16946208 19989708 26652944 29984562 39979416 48308461 53305888 59969124 79958832 96616922 119938248 144925383 159917664 193233844 239876496 289850766 386467688 434776149 479752992 579701532 772935376 869552298 1159403064 1545870752 1739104596 2318806128 3478209192 4637612256 6956418384 13912836768