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13789165137 = 31117232943857
BaseRepresentation
bin11001101011110010…
…11111011001010001
31022120222202011111220
430311321133121101
5211220011241022
610200141355253
7665464653426
oct146571373121
938528664456
1013789165137
115936695950
122809b68b29
1313b9a30017
1494b4b3d4d
1555a88885c
hex335e5f651

13789165137 has 128 divisors (see below), whose sum is σ = 23484764160. Its totient is φ = 7086858240.

The previous prime is 13789165133. The next prime is 13789165147. The reversal of 13789165137 is 73156198731.

It is not a de Polignac number, because 13789165137 - 22 = 13789165133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 13789165137.

It is not an unprimeable number, because it can be changed into a prime (13789165133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16089613 + ... + 16090469.

It is an arithmetic number, because the mean of its divisors is an integer number (183474720).

Almost surely, 213789165137 is an apocalyptic number.

13789165137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13789165137 is a deficient number, since it is larger than the sum of its proper divisors (9695599023).

13789165137 is a wasteful number, since it uses less digits than its factorization.

13789165137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983.

The product of its digits is 952560, while the sum is 51.

The spelling of 13789165137 in words is "thirteen billion, seven hundred eighty-nine million, one hundred sixty-five thousand, one hundred thirty-seven".

Divisors: 1 3 11 17 23 29 33 43 51 69 87 129 187 253 319 391 473 493 561 667 731 759 857 957 989 1173 1247 1419 1479 2001 2193 2571 2967 3741 4301 5423 7337 8041 9427 10879 11339 12903 13717 14569 16269 16813 19711 21199 22011 24123 24853 28281 28681 32637 34017 36851 41151 43707 50439 59133 63597 74559 86043 110553 124729 160259 184943 216821 233189 273383 315491 335087 374187 405361 422501 480777 487577 554829 571619 626467 650463 699567 820149 847573 946473 1005261 1068679 1216083 1267503 1462731 1714857 1879401 2542719 3206037 3685957 4647511 5363347 6287809 6891137 9323303 9717523 11057871 11755469 13942533 14408741 16090041 18167543 18863427 20673411 24579617 27969909 29152569 35266407 43226223 54502629 73738851 106892753 158496151 199842973 270375787 320678259 417853489 475488453 599528919 811127361 1253560467 4596388379 13789165137