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14979394368 = 263323376897
BaseRepresentation
bin11011111001101011…
…10110101101000000
31102122221101002002000
431330311312231000
5221134211104433
610514220224000
71040126515461
oct157465665500
942587332060
1014979394368
116397528774
122aa069b000
1315494b3083
14a215bcd68
155ca0e4113
hex37cd76b40

14979394368 has 112 divisors (see below), whose sum is σ = 45951404160. Its totient is φ = 4776026112.

The previous prime is 14979394361. The next prime is 14979394379. The reversal of 14979394368 is 86349397941.

14979394368 is a `hidden beast` number, since 14 + 97 + 93 + 94 + 368 = 666.

It is a super-3 number, since 3×149793943683 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14979394361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148705 + ... + 228192.

Almost surely, 214979394368 is an apocalyptic number.

14979394368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14979394368 is an abundant number, since it is smaller than the sum of its proper divisors (30972009792).

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

14979394368 is a wasteful number, since it uses less digits than its factorization.

14979394368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376941 (or 376925 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 14979394368 in words is "fourteen billion, nine hundred seventy-nine million, three hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 9936 13248 19872 39744 376897 753794 1130691 1507588 2261382 3015176 3392073 4522764 6030352 6784146 8668631 9045528 10176219 12060704 13568292 17337262 18091056 20352438 24121408 26005893 27136584 34674524 36182112 40704876 52011786 54273168 69349048 72364224 78017679 81409752 104023572 108546336 138698096 156035358 162819504 208047144 217092672 234053037 277396192 312070716 325639008 416094288 468106074 554792384 624141432 651278016 832188576 936212148 1248282864 1664377152 1872424296 2496565728 3744848592 4993131456 7489697184 14979394368