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14709361368 = 23313314433433
BaseRepresentation
bin11011011001011111…
…10000101011011000
31101222010020222102210
431230233300223120
5220111044030433
610431332355120
71030340336322
oct155457605330
941863228383
1014709361368
1162690619a9
122a26175aa0
131505578230
149d77aa612
155b1554463
hex36cbf0ad8

14709361368 has 128 divisors (see below), whose sum is σ = 40983828480. Its totient is φ = 4368798720.

The previous prime is 14709361363. The next prime is 14709361391. The reversal of 14709361368 is 86316390741.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14709361363) 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 31 ways as a sum of consecutive naturals, for example, 4282980 + ... + 4286412.

It is an arithmetic number, because the mean of its divisors is an integer number (320186160).

Almost surely, 214709361368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14709361368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491914240).

14709361368 is an abundant number, since it is smaller than the sum of its proper divisors (26274467112).

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

14709361368 is a wasteful number, since it uses less digits than its factorization.

14709361368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 14709361368 in words is "fourteen billion, seven hundred nine million, three hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 443 744 806 886 1209 1329 1612 1772 2418 2658 3224 3433 3544 4836 5316 5759 6866 9672 10299 10632 11518 13732 13733 17277 20598 23036 27464 27466 34554 41196 41199 44629 46072 54932 69108 82392 82398 89258 106423 109864 133887 138216 164796 178516 178529 212846 267774 319269 329592 357032 357058 425692 535548 535587 638538 714116 851384 1071096 1071174 1277076 1383499 1428232 1520819 2142348 2554152 2766998 3041638 4150497 4284696 4562457 5533996 6083276 8300994 9124914 11067992 12166552 16601988 18249828 19770647 33203976 36499656 39541294 47145389 59311941 79082588 94290778 118623882 141436167 158165176 188581556 237247764 282872334 377163112 474495528 565744668 612890057 1131489336 1225780114 1838670171 2451560228 3677340342 4903120456 7354680684 14709361368