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14780103456 = 2531072635471
BaseRepresentation
bin11011100001111011…
…00111101100100000
31102011001101001100010
431300331213230200
5220232201302311
610442340524520
71032156543426
oct156075475440
942131331303
1014780103456
1162a4a8a538
122a459b0740
131517116761
14a02d43116
155b7879da6
hex370f67b20

14780103456 has 96 divisors (see below), whose sum is σ = 39316451328. Its totient is φ = 4861210880.

The previous prime is 14780103449. The next prime is 14780103469. The reversal of 14780103456 is 65430108741.

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

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, 2698801 + ... + 2704271.

It is an arithmetic number, because the mean of its divisors is an integer number (409546368).

Almost surely, 214780103456 is an apocalyptic number.

14780103456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14780103456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658225664).

14780103456 is an abundant number, since it is smaller than the sum of its proper divisors (24536347872).

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

14780103456 is a wasteful number, since it uses less digits than its factorization.

14780103456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 14780103456 in words is "fourteen billion, seven hundred eighty million, one hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 263 321 428 526 642 789 856 1052 1284 1578 1712 2104 2568 3156 3424 4208 5136 5471 6312 8416 10272 10942 12624 16413 21884 25248 28141 32826 43768 56282 65652 84423 87536 112564 131304 168846 175072 225128 262608 337692 450256 525216 585397 675384 900512 1170794 1350768 1438873 1756191 2341588 2701536 2877746 3512382 4316619 4683176 5755492 7024764 8633238 9366352 11510984 14049528 17266476 18732704 23021968 28099056 34532952 46043936 56198112 69065904 138131808 153959411 307918822 461878233 615837644 923756466 1231675288 1847512932 2463350576 3695025864 4926701152 7390051728 14780103456