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14279590656 = 28335573709
BaseRepresentation
bin11010100110010000…
…10100001100000000
31100212011120100212000
431103020110030000
5213221033400111
610320541104000
71013601342432
oct152310241400
940764510760
1014279590656
1160685028a1
122926258000
131467512136
14996696652
1558895ec56
hex353214300

14279590656 has 144 divisors (see below), whose sum is σ = 42314479200. Its totient is φ = 4750036992.

The previous prime is 14279590651. The next prime is 14279590669. The reversal of 14279590656 is 65609597241.

14279590656 is a `hidden beast` number, since 1 + 42 + 7 + 9 + 590 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (14279590651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3848130 + ... + 3851838.

It is an arithmetic number, because the mean of its divisors is an integer number (293850550).

Almost surely, 214279590656 is an apocalyptic number.

14279590656 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 14279590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157239600).

14279590656 is an abundant number, since it is smaller than the sum of its proper divisors (28034888544).

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

14279590656 is an equidigital number, since it uses as much as digits as its factorization.

14279590656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 14279590656 in words is "fourteen billion, two hundred seventy-nine million, five hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 557 576 768 864 1114 1152 1671 1728 2228 2304 3342 3456 3709 4456 5013 6684 6912 7418 8912 10026 11127 13368 14836 15039 17824 20052 22254 26736 29672 30078 33381 35648 40104 44508 53472 59344 60156 66762 71296 80208 89016 100143 106944 118688 120312 133524 142592 160416 178032 200286 213888 237376 240624 267048 320832 356064 400572 427776 474752 481248 534096 641664 712128 801144 949504 962496 1068192 1283328 1424256 1602288 1924992 2065913 2136384 2848512 3204576 3849984 4131826 4272768 6197739 6409152 8263652 8545536 12395478 12818304 16527304 18593217 24790956 25636608 33054608 37186434 49581912 55779651 66109216 74372868 99163824 111559302 132218432 148745736 198327648 223118604 264436864 297491472 396655296 446237208 528873728 594982944 793310592 892474416 1189965888 1586621184 1784948832 2379931776 3569897664 4759863552 7139795328 14279590656