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14930605260 = 22385113783
BaseRepresentation
bin11011110011110111…
…01111010011001100
31102112112120100000000
431321323233103030
5221034213332020
610505314404300
71035665023254
oct157173572314
942475510000
1014930605260
116371a3479a
122a88290690
13153c35cb8c
14a18d1c964
155c5ba8090
hex379eef4cc

14930605260 has 108 divisors (see below), whose sum is σ = 47029430448. Its totient is φ = 3981459744.

The previous prime is 14930605243. The next prime is 14930605271. The reversal of 14930605260 is 6250603941.

It is a happy number.

14930605260 is a `hidden beast` number, since 1 + 49 + 3 + 0 + 605 + 2 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74329 + ... + 188111.

Almost surely, 214930605260 is an apocalyptic number.

14930605260 is a gapful number since it is divisible by the number (10) 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 14930605260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514715224).

14930605260 is an abundant number, since it is smaller than the sum of its proper divisors (32098825188).

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

14930605260 is an equidigital number, since it uses as much as digits as its factorization.

14930605260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113816 (or 113793 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 14930605260 in words is "fourteen billion, nine hundred thirty million, six hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 6561 7290 8748 10935 13122 14580 21870 26244 32805 43740 65610 113783 131220 227566 341349 455132 568915 682698 1024047 1137830 1365396 1706745 2048094 2275660 3072141 3413490 4096188 5120235 6144282 6826980 9216423 10240470 12288564 15360705 18432846 20480940 27649269 30721410 36865692 46082115 55298538 61442820 82947807 92164230 110597076 138246345 165895614 184328460 248843421 276492690 331791228 414739035 497686842 552985380 746530263 829478070 995373684 1244217105 1493060526 1658956140 2488434210 2986121052 3732651315 4976868420 7465302630 14930605260