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14729032416 = 253753413551
BaseRepresentation
bin11011011011110101…
…10011001011100000
31102000111021101001010
431231322303023200
5220131113014131
610433314140520
71030666465320
oct155572631340
942014241033
1014729032416
11627917806a
122a30881740
1315096749c7
149da24b280
155b313cb46
hex36deb32e0

14729032416 has 96 divisors (see below), whose sum is σ = 45020924928. Its totient is φ = 4128883200.

The previous prime is 14729032393. The next prime is 14729032421. The reversal of 14729032416 is 61423092741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171160 + ... + 242391.

It is an arithmetic number, because the mean of its divisors is an integer number (468967968).

Almost surely, 214729032416 is an apocalyptic number.

14729032416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14729032416 is an abundant number, since it is smaller than the sum of its proper divisors (30291892512).

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

14729032416 is a wasteful number, since it uses less digits than its factorization.

14729032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413624 (or 413616 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 14729032416 in words is "fourteen billion, seven hundred twenty-nine million, thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 413551 827102 1240653 1654204 2481306 2894857 3308408 4962612 5789714 6616816 8684571 9925224 11579428 13233632 17369142 19850448 21918203 23158856 34738284 39700896 43836406 46317712 65754609 69476568 87672812 92635424 131509218 138953136 153427421 175345624 263018436 277906272 306854842 350691248 460282263 526036872 613709684 701382496 920564526 1052073744 1227419368 1841129052 2104147488 2454838736 3682258104 4909677472 7364516208 14729032416