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13516026040 = 23511311019811
BaseRepresentation
bin11001001011001111…
…00011000010111000
31021212221210021010001
430211213203002320
5210140100313130
610113103202344
7655640216506
oct144547430270
937787707101
1013516026040
115806498460
1227525a63b4
13137527845a
149230d3676
155418d36ca
hex3259e30b8

13516026040 has 128 divisors (see below), whose sum is σ = 34588477440. Its totient is φ = 4708800000.

The previous prime is 13516026019. The next prime is 13516026049. The reversal of 13516026040 is 4062061531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13516026049) 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, 1372735 + ... + 1382545.

It is an arithmetic number, because the mean of its divisors is an integer number (270222480).

Almost surely, 213516026040 is an apocalyptic number.

13516026040 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 13516026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294238720).

13516026040 is an abundant number, since it is smaller than the sum of its proper divisors (21072451400).

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

13516026040 is a wasteful number, since it uses less digits than its factorization.

13516026040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 13516026040 its reverse (4062061531), we get a palindrome (17578087571).

The spelling of 13516026040 in words is "thirteen billion, five hundred sixteen million, twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 101 110 124 155 202 220 248 310 341 404 440 505 620 682 808 1010 1111 1240 1364 1705 2020 2222 2728 3131 3410 4040 4444 5555 6262 6820 8888 9811 11110 12524 13640 15655 19622 22220 25048 31310 34441 39244 44440 49055 62620 68882 78488 98110 107921 125240 137764 172205 196220 215842 275528 304141 344410 392440 431684 539605 608282 688820 863368 990911 1079210 1216564 1377640 1520705 1981822 2158420 2433128 3041410 3345551 3963644 4316840 4954555 6082820 6691102 7927288 9909110 10900021 12165640 13382204 16727755 19818220 21800042 26764408 30718241 33455510 39636440 43600084 54500105 61436482 66911020 87200168 109000210 122872964 133822040 153591205 218000420 245745928 307182410 337900651 436000840 614364820 675801302 1228729640 1351602604 1689503255 2703205208 3379006510 6758013020 13516026040