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13015420660 = 225112171916651
BaseRepresentation
bin11000001111100011…
…11000111011110100
31020121001210212122001
430013301320323310
5203123421430120
65551301345044
7640351151554
oct140761707364
936531725561
1013015420660
115579958200
122632a08184
1312c5640958
148b6821164
1551299ae0a
hex307c78ef4

13015420660 has 144 divisors (see below), whose sum is σ = 33486505920. Its totient is φ = 4219776000.

The previous prime is 13015420631. The next prime is 13015420667. The reversal of 13015420660 is 6602451031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015420667) 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 47 ways as a sum of consecutive naturals, for example, 773335 + ... + 789985.

It is an arithmetic number, because the mean of its divisors is an integer number (232545180).

Almost surely, 213015420660 is an apocalyptic number.

13015420660 is a gapful number since it is divisible by the number (10) 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 13015420660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16743252960).

13015420660 is an abundant number, since it is smaller than the sum of its proper divisors (20471085260).

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

13015420660 is a wasteful number, since it uses less digits than its factorization.

13015420660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16718 (or 16705 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 13015420660 its reverse (6602451031), we get a palindrome (19617871691).

The spelling of 13015420660 in words is "thirteen billion, fifteen million, four hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 121 170 187 190 209 220 242 323 340 374 380 418 484 605 646 748 836 935 1045 1210 1292 1615 1870 2057 2090 2299 2420 3230 3553 3740 4114 4180 4598 6460 7106 8228 9196 10285 11495 14212 16651 17765 20570 22990 33302 35530 39083 41140 45980 66604 71060 78166 83255 156332 166510 183161 195415 283067 316369 333020 366322 390830 566134 632738 732644 781660 915805 1132268 1265476 1415335 1581845 1831610 2014771 2830670 3113737 3163690 3480059 3663220 4029542 5378273 5661340 6227474 6327380 6960118 8059084 10073855 10756546 12454948 13920236 15568685 17400295 20147710 21513092 26891365 31137370 34251107 34800590 38280649 40295420 53782730 59161003 62274740 68502214 69601180 76561298 107565460 118322006 137004428 153122596 171255535 191403245 236644012 295805015 342511070 382806490 591610030 650771033 685022140 765612980 1183220060 1301542066 2603084132 3253855165 6507710330 13015420660