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15013340412 = 223710913112517
BaseRepresentation
bin11011111101101110…
…10110010011111100
31102202022020201021220
431332313112103330
5221221403343122
610521431553340
71041021200520
oct157667262374
942668221256
1015013340412
116404703954
122aabb2b850
13155353a1a5
14a25cd7d80
155cd09c25c
hex37edd64fc

15013340412 has 96 divisors (see below), whose sum is σ = 40714544640. Its totient is φ = 4217391360.

The previous prime is 15013340389. The next prime is 15013340467. The reversal of 15013340412 is 21404331051.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193178 + ... + 1205694.

It is an arithmetic number, because the mean of its divisors is an integer number (424109840).

Almost surely, 215013340412 is an apocalyptic number.

15013340412 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 15013340412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357272320).

15013340412 is an abundant number, since it is smaller than the sum of its proper divisors (25701204228).

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

15013340412 is a wasteful number, since it uses less digits than its factorization.

15013340412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 15013340412 its reverse (21404331051), we get a palindrome (36417671463).

The spelling of 15013340412 in words is "fifteen billion, thirteen million, three hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 131 218 262 327 393 436 524 654 763 786 917 1308 1526 1572 1834 2289 2751 3052 3668 4578 5502 9156 11004 12517 14279 25034 28558 37551 42837 50068 57116 75102 85674 87619 99953 150204 171348 175238 199906 262857 299859 350476 399812 525714 599718 1051428 1199436 1364353 1639727 2728706 3279454 4093059 4919181 5457412 6558908 8186118 9550471 9838362 11478089 16372236 19100942 19676724 22956178 28651413 34434267 38201884 45912356 57302826 68868534 114605652 137737068 178730243 357460486 536190729 714920972 1072381458 1251111701 2144762916 2502223402 3753335103 5004446804 7506670206 15013340412