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13984476012 = 2235131765101
BaseRepresentation
bin11010000011000101…
…00010101101101100
31100002121020222200000
431001202202231230
5212120011213022
610231355504300
71003356041043
oct150142425554
940077228600
1013984476012
115a269658a1
122863458090
13141b334ba0
149693d555a
1556cab86ac
hex3418a2b6c

13984476012 has 144 divisors (see below), whose sum is σ = 41801733792. Its totient is φ = 4049740800.

The previous prime is 13984475993. The next prime is 13984476043. The reversal of 13984476012 is 21067448931.

13984476012 is a `hidden beast` number, since 1 + 39 + 8 + 4 + 4 + 7 + 601 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182262 + ... + 247362.

It is an arithmetic number, because the mean of its divisors is an integer number (290289818).

Almost surely, 213984476012 is an apocalyptic number.

13984476012 is a gapful number since it is divisible by the number (12) 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 13984476012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900866896).

13984476012 is an abundant number, since it is smaller than the sum of its proper divisors (27817257780).

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

13984476012 is a wasteful number, since it uses less digits than its factorization.

13984476012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65150 (or 65136 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13984476012 in words is "thirteen billion, nine hundred eighty-four million, four hundred seventy-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 243 306 324 351 442 459 468 486 612 663 702 884 918 972 1053 1326 1377 1404 1836 1989 2106 2652 2754 3159 3978 4131 4212 5508 5967 6318 7956 8262 11934 12636 16524 17901 23868 35802 53703 65101 71604 107406 130202 195303 214812 260404 390606 585909 781212 846313 1106717 1171818 1692626 1757727 2213434 2343636 2538939 3320151 3385252 3515454 4426868 5077878 5273181 6640302 7030908 7616817 9960453 10155756 10546362 13280604 14387321 15233634 15819543 19920906 21092724 22850451 28774642 29881359 30467268 31639086 39841812 43161963 45700902 57549284 59762718 63278172 68551353 86323926 89644077 91401804 119525436 129485889 137102706 172647852 179288154 205654059 258971778 268932231 274205412 358576308 388457667 411308118 517943556 537864462 776915334 822616236 1075728924 1165373001 1553830668 2330746002 3496119003 4661492004 6992238006 13984476012