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14279633856 = 26349073037
BaseRepresentation
bin11010100110010000…
…11110101111000000
31100212011122120010000
431103020132233000
5213221041240411
610320542040000
71013601612405
oct152310365700
940764576100
1014279633856
1160685322a4
122926279000
1314675289b7
149966a82ac
1558896c956
hex35321ebc0

14279633856 has 140 divisors (see below), whose sum is σ = 42389930968. Its totient is φ = 4753064448.

The previous prime is 14279633827. The next prime is 14279633903. The reversal of 14279633856 is 65833697241.

It is a super-2 number, since 2×142796338562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4700370 + ... + 4703406.

Almost surely, 214279633856 is an apocalyptic number.

14279633856 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 14279633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194965484).

14279633856 is an abundant number, since it is smaller than the sum of its proper divisors (28110297112).

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

14279633856 is an equidigital number, since it uses as much as digits as its factorization.

14279633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3949 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 14279633856 in words is "fourteen billion, two hundred seventy-nine million, six hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 907 1296 1728 1814 2592 2721 3037 3628 5184 5442 6074 7256 8163 9111 10884 12148 14512 16326 18222 21768 24296 24489 27333 29024 32652 36444 43536 48592 48978 54666 58048 65304 72888 73467 81999 87072 97184 97956 109332 130608 145776 146934 163998 174144 194368 195912 218664 245997 261216 291552 293868 327996 391824 437328 491994 522432 583104 587736 655992 783648 874656 983988 1175472 1311984 1567296 1749312 1967976 2350944 2623968 2754559 3935952 4701888 5247936 5509118 7871904 8263677 11018236 15743808 16527354 22036472 24791031 33054708 44072944 49582062 66109416 74373093 88145888 99164124 132218832 148746186 176291776 198328248 223119279 264437664 297492372 396656496 446238558 528875328 594984744 793312992 892477116 1189969488 1586625984 1784954232 2379938976 3569908464 4759877952 7139816928 14279633856