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13132610540 = 2257237587617
BaseRepresentation
bin11000011101100001…
…11011101111101100
31020220020022201220222
430032300323233230
5203343422014130
610011045230512
7643303230200
oct141660735754
936806281828
1013132610540
11562a01a745
122666102438
1313139c278a
148c8208b00
1551cde8ce5
hex30ec3bbec

13132610540 has 144 divisors (see below), whose sum is σ = 33057769248. Its totient is φ = 4366365696.

The previous prime is 13132610537. The next prime is 13132610549. The reversal of 13132610540 is 4501623131.

It is not an unprimeable number, because it can be changed into a prime (13132610549) 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, 21284312 + ... + 21284928.

It is an arithmetic number, because the mean of its divisors is an integer number (229567842).

Almost surely, 213132610540 is an apocalyptic number.

13132610540 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 13132610540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528884624).

13132610540 is an abundant number, since it is smaller than the sum of its proper divisors (19925158708).

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

13132610540 is a wasteful number, since it uses less digits than its factorization.

13132610540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 13132610540 in words is "thirteen billion, one hundred thirty-two million, six hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 587 617 740 980 1036 1174 1234 1295 1813 2348 2468 2590 2935 3085 3626 4109 4319 5180 5870 6170 7252 8218 8638 9065 11740 12340 16436 17276 18130 20545 21595 21719 22829 28763 30233 36260 41090 43190 43438 45658 57526 60466 82180 86380 86876 91316 108595 114145 115052 120932 143815 151165 152033 159803 217190 228290 287630 302330 304066 319606 362179 434380 456580 575260 604660 608132 639212 724358 760165 799015 1064231 1118621 1448716 1520330 1598030 1810895 2128462 2237242 2535253 3040660 3196060 3621790 4256924 4474484 5070506 5321155 5593105 7243580 10141012 10642310 11186210 12676265 13400623 17746771 21284620 22372420 25352530 26801246 35493542 50705060 53602492 67003115 70987084 88733855 93804361 134006230 177467710 187608722 268012460 354935420 375217444 469021805 656630527 938043610 1313261054 1876087220 2626522108 3283152635 6566305270 13132610540