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14463749376 = 28326277669
BaseRepresentation
bin11010111100001101…
…10100110100000000
31101100000002121010100
431132012310310000
5214110204440001
610351120202400
71021265561346
oct153606646400
941300077110
1014463749376
116152455a8a
122977a69400
131496710bab
149b2d13996
15599bda586
hex35e1b4d00

14463749376 has 54 divisors (see below), whose sum is σ = 41702561810. Its totient is φ = 4821249024.

The previous prime is 14463749327. The next prime is 14463749383. The reversal of 14463749376 is 67394736441.

14463749376 is a `hidden beast` number, since 14 + 46 + 37 + 493 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13965566976 + 498182400 = 118176^2 + 22320^2 .

It is a super-3 number, since 3×144637493763 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3136531 + ... + 3141138.

Almost surely, 214463749376 is an apocalyptic number.

14463749376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14463749376 is an abundant number, since it is smaller than the sum of its proper divisors (27238812434).

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

14463749376 is an equidigital number, since it uses as much as digits as its factorization.

14463749376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277691 (or 6277674 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 14463749376 in words is "fourteen billion, four hundred sixty-three million, seven hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6277669 12555338 18833007 25110676 37666014 50221352 56499021 75332028 100442704 112998042 150664056 200885408 225996084 301328112 401770816 451992168 602656224 803541632 903984336 1205312448 1607083264 1807968672 2410624896 3615937344 4821249792 7231874688 14463749376