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14793701037456 = 24311149188042773
BaseRepresentation
bin1101011101000110110101…
…0010111001010110010000
31221101021010110110020120010
43113101231102321112100
53414334444431144311
651244044334514520
73054544463015235
oct327215522712620
957337113406503
1014793701037456
114793a78623610
1217ab150665a40
13834069c0b043
1439203a00178c
151a9c41200da6
hexd746d4b9590

14793701037456 has 80 divisors (see below), whose sum is σ = 41971147156800. Its totient is φ = 4452852840960.

The previous prime is 14793701037439. The next prime is 14793701037611. The reversal of 14793701037456 is 65473010739741.

14793701037456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14793701037396 and 14793701037405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93942715 + ... + 94100058.

It is an arithmetic number, because the mean of its divisors is an integer number (524639339460).

Almost surely, 214793701037456 is an apocalyptic number.

14793701037456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14793701037456 is an abundant number, since it is smaller than the sum of its proper divisors (27177446119344).

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

14793701037456 is a wasteful number, since it uses less digits than its factorization.

14793701037456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188042944 (or 188042938 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 14793701037456 in words is "fourteen trillion, seven hundred ninety-three billion, seven hundred one million, thirty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 894 1192 1639 1788 2384 3278 3576 4917 6556 7152 9834 13112 19668 26224 39336 78672 188042773 376085546 564128319 752171092 1128256638 1504342184 2068470503 2256513276 3008684368 4136941006 4513026552 6205411509 8273882012 9026053104 12410823018 16547764024 24821646036 28018373177 33095528048 49643292072 56036746354 84055119531 99286584144 112073492708 168110239062 224146985416 308202104947 336220478124 448293970832 616404209894 672440956248 924606314841 1232808419788 1344881912496 1849212629682 2465616839576 3698425259364 4931233679152 7396850518728 14793701037456