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13137437140 = 22517219119627
BaseRepresentation
bin11000011110000110…
…10110000111010100
31020220120101221202221
430033003112013110
5203401140442030
610011340512124
7643362242002
oct141703260724
936816357687
1013137437140
115631816a73
12266784b644
1313149c2659
148c8b03a72
1551d54de7a
hex30f0d61d4

13137437140 has 72 divisors (see below), whose sum is σ = 30849668640. Its totient is φ = 4685511168.

The previous prime is 13137437113. The next prime is 13137437143. The reversal of 13137437140 is 4173473131.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 13137437096 and 13137437105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137437143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50007 + ... + 169633.

It is an arithmetic number, because the mean of its divisors is an integer number (428467620).

Almost surely, 213137437140 is an apocalyptic number.

13137437140 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 13137437140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424834320).

13137437140 is an abundant number, since it is smaller than the sum of its proper divisors (17712231500).

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

13137437140 is a wasteful number, since it uses less digits than its factorization.

13137437140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119689 (or 119670 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 13137437140 in words is "thirteen billion, one hundred thirty-seven million, four hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 289 323 340 380 578 646 1156 1292 1445 1615 2890 3230 5491 5780 6460 10982 21964 27455 54910 109820 119627 239254 478508 598135 1196270 2033659 2272913 2392540 4067318 4545826 8134636 9091652 10168295 11364565 20336590 22729130 34572203 38639521 40673180 45458260 69144406 77279042 138288812 154558084 172861015 193197605 345722030 386395210 656871857 691444060 772790420 1313743714 2627487428 3284359285 6568718570 13137437140