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13964392297728 = 283212747723891
BaseRepresentation
bin1100101100110101011010…
…1001000111010100000000
31211102222112111202021000200
43023031112221013110000
53312243033412011403
645411053034245200
72640615442025355
oct313152651072400
954388474667020
1013964392297728
1144a42a1445974
121696486886800
137a3ab4b68932
14363c4737262c
151933a4d2cca3
hexcb356a47500

13964392297728 has 108 divisors (see below), whose sum is σ = 40579816263168. Its totient is φ = 4618145387520.

The previous prime is 13964392297703. The next prime is 13964392297729. The reversal of 13964392297728 is 82779229346931.

13964392297728 is a `hidden beast` number, since 1 + 39 + 6 + 439 + 2 + 2 + 97 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13964392297729) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23569338 + ... + 24154553.

Almost surely, 213964392297728 is an apocalyptic number.

13964392297728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13964392297728 is an abundant number, since it is smaller than the sum of its proper divisors (26615423965440).

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

13964392297728 is a wasteful number, since it uses less digits than its factorization.

13964392297728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47724040 (or 47724023 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 13964392297728 in words is "thirteen trillion, nine hundred sixty-four billion, three hundred ninety-two million, two hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 576 762 768 1016 1143 1152 1524 2032 2286 2304 3048 4064 4572 6096 8128 9144 12192 16256 18288 24384 32512 36576 48768 73152 97536 146304 292608 47723891 95447782 143171673 190895564 286343346 381791128 429515019 572686692 763582256 859030038 1145373384 1527164512 1718060076 2290746768 3054329024 3436120152 4581493536 6060934157 6108658048 6872240304 9162987072 12121868314 12217316096 13744480608 18182802471 18325974144 24243736628 27488961216 36365604942 36651948288 48487473256 54548407413 54977922432 72731209884 96974946512 109096814826 109955844864 145462419768 193949893024 218193629652 290924839536 387899786048 436387259304 581849679072 775799572096 872774518608 1163699358144 1551599144192 1745549037216 2327398716288 3491098074432 4654797432576 6982196148864 13964392297728