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14736988816 = 24112312892
BaseRepresentation
bin11011011100110010…
…01001101010010000
31102001001020121011121
431232121021222100
5220140132120231
610434200452024
71031124223654
oct155631115220
942031217147
1014736988816
116282711900
122a3347a014
13150b1cc334
149db31ca64
155b3bb0311
hex36e649a90

14736988816 has 135 divisors (see below), whose sum is σ = 32798147529. Its totient is φ = 6409708800.

The previous prime is 14736988813. The next prime is 14736988817. The reversal of 14736988816 is 61888963741.

The square root of 14736988816 is 121396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2829814416 + 11907174400 = 53196^2 + 109120^2 .

It is not an unprimeable number, because it can be changed into a prime (14736988811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165584100 + ... + 165584188.

Almost surely, 214736988816 is an apocalyptic number.

14736988816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14736988816 is the 121396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14736988816

14736988816 is an abundant number, since it is smaller than the sum of its proper divisors (18061158713).

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

14736988816 is an equidigital number, since it uses as much as digits as its factorization.

14736988816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 133 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 61.

It can be divided in two parts, 147 and 36988816, that added together give a palindrome (36988963).

The spelling of 14736988816 in words is "fourteen billion, seven hundred thirty-six million, nine hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 89 121 124 176 178 242 248 341 356 484 496 682 712 961 968 979 1364 1424 1922 1936 1958 2728 2759 3751 3844 3916 5456 5518 7502 7688 7832 7921 10571 10769 11036 15004 15376 15664 15842 21142 21538 22072 30008 30349 31684 42284 43076 44144 60016 60698 63368 84568 85529 86152 87131 116281 121396 126736 169136 171058 172304 174262 232562 242792 245551 333839 342116 348524 465124 485584 491102 667678 684232 697048 930248 940819 958441 982204 1335356 1368464 1394096 1860496 1881638 1916882 1964408 2670712 2701061 3763276 3833764 3928816 5341424 5402122 7526552 7612081 7667528 10349009 10804244 15053104 15224162 15335056 20698018 21608488 29711671 30448324 41396036 43216976 59423342 60896648 82792072 83732891 118846684 121793296 165584144 167465782 237693368 334931564 475386736 669863128 921061801 1339726256 1842123602 3684247204 7368494408 14736988816