Search a number
-
+
13312136988 = 22324153379449
BaseRepresentation
bin11000110010111011…
…10001011100011100
31021100202010121220200
430121131301130130
5204230401340423
610040541143500
7650613204003
oct143135613434
937322117820
1013312136988
115711399607
1226b625ab90
131341c5bc47
14903dbbc3a
1552da5bd43
hex31977171c

13312136988 has 144 divisors (see below), whose sum is σ = 35292348000. Its totient is φ = 4226826240.

The previous prime is 13312136987. The next prime is 13312137001. The reversal of 13312136988 is 88963121331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312136987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29648188 + ... + 29648636.

It is an arithmetic number, because the mean of its divisors is an integer number (245085750).

Almost surely, 213312136988 is an apocalyptic number.

13312136988 is a gapful number since it is divisible by the number (18) 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 13312136988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646174000).

13312136988 is an abundant number, since it is smaller than the sum of its proper divisors (21980211012).

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

13312136988 is a wasteful number, since it uses less digits than its factorization.

13312136988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 927 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 13312136988 in words is "thirteen billion, three hundred twelve million, one hundred thirty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 159 164 212 246 318 369 379 449 477 492 636 738 758 898 954 1137 1347 1476 1516 1796 1908 2173 2274 2694 3411 4041 4346 4548 5388 6519 6822 8082 8692 13038 13644 15539 16164 18409 19557 20087 23797 26076 31078 36818 39114 40174 46617 47594 55227 60261 62156 71391 73636 78228 80348 93234 95188 110454 120522 139851 142782 165681 170171 180783 186468 214173 220908 241044 279702 285564 331362 340342 361566 428346 510513 559404 662724 680684 723132 823567 856692 975677 1021026 1531539 1647134 1951354 2042052 2470701 2927031 3063078 3294268 3902708 4941402 5854062 6126156 6977011 7412103 8781093 9019063 9882804 11708124 13954022 14824206 17562186 18038126 20931033 27057189 27908044 29648412 35124372 36076252 41862066 54114378 62793099 81171567 83724132 108228756 125586198 162343134 251172396 324686268 369781583 739563166 1109344749 1479126332 2218689498 3328034247 4437378996 6656068494 13312136988