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13135716604060 = 22523611074375043
BaseRepresentation
bin1011111100100110010110…
…1110001101100010011100
31201111202120200020100102121
42333021211232031202130
53210203421422312220
643534244230232324
72524011205611031
oct277114556154234
951452520210377
1013135716604060
11420490a637096
121581958ab56a4
13743900cc26ab
14335ab480d388
1517ba54303eaa
hexbf265b8d89c

13135716604060 has 96 divisors (see below), whose sum is σ = 29529656980992. Its totient is φ = 4897247013120.

The previous prime is 13135716604019. The next prime is 13135716604067. The reversal of 13135716604060 is 6040661753131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13135716603998 and 13135716604016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135716604067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814899 + ... + 5189941.

It is an arithmetic number, because the mean of its divisors is an integer number (307600593552).

Almost surely, 213135716604060 is an apocalyptic number.

13135716604060 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 13135716604060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764828490496).

13135716604060 is an abundant number, since it is smaller than the sum of its proper divisors (16393940376932).

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

13135716604060 is a wasteful number, since it uses less digits than its factorization.

13135716604060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375243 (or 4375241 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 13135716604060 in words is "thirteen trillion, one hundred thirty-five billion, seven hundred sixteen million, six hundred four thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 61 92 107 115 122 214 230 244 305 428 460 535 610 1070 1220 1403 2140 2461 2806 4922 5612 6527 7015 9844 12305 13054 14030 24610 26108 28060 32635 49220 65270 130540 150121 300242 600484 750605 1501210 3002420 4375043 8750086 17500172 21875215 43750430 87500860 100625989 201251978 266877623 402503956 468129601 503129945 533755246 936259202 1006259890 1067510492 1334388115 1872518404 2012519780 2340648005 2668776230 4681296010 5337552460 6138185329 9362592020 10766980823 12276370658 21533961646 24552741316 28555905661 30690926645 43067923292 53834904115 57111811322 61381853290 107669808230 114223622644 122763706580 142779528305 215339616460 285559056610 571118113220 656785830203 1313571660406 2627143320812 3283929151015 6567858302030 13135716604060