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13581760044 = 22319261103499
BaseRepresentation
bin11001010011000100…
…10011011000101100
31022001112110220012210
430221202103120230
5210303412310134
610123412130420
7660366025026
oct145142233054
938045426183
1013581760044
11583a605386
122770606a10
131385a82308
1492bb25016
1554756a2e9
hex32989362c

13581760044 has 144 divisors (see below), whose sum is σ = 34393632000. Its totient is φ = 4169335680.

The previous prime is 13581760043. The next prime is 13581760051. The reversal of 13581760044 is 44006718531.

It is a junction number, because it is equal to n+sod(n) for n = 13581759984 and 13581760011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13581760043) 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, 27217707 + ... + 27218205.

Almost surely, 213581760044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13581760044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196816000).

13581760044 is an abundant number, since it is smaller than the sum of its proper divisors (20811871956).

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

13581760044 is a wasteful number, since it uses less digits than its factorization.

13581760044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 13581760044 in words is "thirteen billion, five hundred eighty-one million, seven hundred sixty thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 103 114 122 183 206 228 244 309 361 366 412 499 618 722 732 998 1083 1159 1236 1444 1497 1957 1996 2166 2318 2994 3477 3914 4332 4636 5871 5988 6283 6954 7828 9481 11742 12566 13908 18849 18962 22021 23484 25132 28443 30439 37183 37698 37924 44042 51397 56886 60878 66063 74366 75396 88084 91317 102794 111549 113772 119377 121756 132126 148732 154191 180139 182634 205588 223098 238754 264252 308382 358131 360278 365268 446196 477508 540417 578341 616764 716262 720556 976543 1080834 1156682 1432524 1735023 1953086 2161668 2268163 2313364 2929629 3135217 3470046 3906172 4536326 5859258 6270434 6804489 6940092 9072652 9405651 10988479 11718516 12540868 13608978 18554317 18811302 21976958 27217956 32965437 37108634 37622604 43953916 55662951 59569123 65930874 74217268 111325902 119138246 131861748 178707369 222651804 238276492 357414738 714829476 1131813337 2263626674 3395440011 4527253348 6790880022 13581760044