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13586201980 = 22513314141113
BaseRepresentation
bin11001010011100110…
…01111110101111100
31022001211211120101221
430221303033311330
5210311031430410
610124051243124
7660451545211
oct145163176574
938054746357
1013586201980
1158420696aa
122771ba94a4
131386979090
1492c55db08
15547b464da
hex329ccfd7c

13586201980 has 96 divisors (see below), whose sum is σ = 32491243008. Its totient is φ = 4736102400.

The previous prime is 13586201971. The next prime is 13586201999. The reversal of 13586201980 is 8910268531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309904 + ... + 351016.

It is an arithmetic number, because the mean of its divisors is an integer number (338450448).

Almost surely, 213586201980 is an apocalyptic number.

13586201980 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 13586201980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16245621504).

13586201980 is an abundant number, since it is smaller than the sum of its proper divisors (18905041028).

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

13586201980 is a wasteful number, since it uses less digits than its factorization.

13586201980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41207 (or 41205 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 13586201980 in words is "thirteen billion, five hundred eighty-six million, two hundred one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 41 52 62 65 82 124 130 155 164 205 260 310 403 410 533 620 806 820 1066 1271 1612 2015 2132 2542 2665 4030 5084 5330 6355 8060 10660 12710 16523 25420 33046 41113 66092 82226 82615 164452 165230 205565 330460 411130 534469 822260 1068938 1274503 1685633 2137876 2549006 2672345 3371266 5098012 5344690 6372515 6742532 8428165 10689380 12745030 16568539 16856330 21913229 25490060 33137078 33712660 43826458 52254623 66274156 82842695 87652916 104509246 109566145 165685390 209018492 219132290 261273115 331370780 438264580 522546230 679310099 1045092460 1358620198 2717240396 3396550495 6793100990 13586201980