Search a number
-
+
268063713535511 = 17219471099529327
BaseRepresentation
bin111100111100110101110010…
…011011000010011000010111
31022011010122022002122221012102
4330330311302123002120113
5240113423441131114021
62350042434150112315
7110314651500510365
oct7474656233023027
91264118262587172
10268063713535511
117846020097a963
122609466334b69b
13b6763b864119a
144a2a4d2754635
1520ece4434700b
hexf3cd726c2617

268063713535511 has 48 divisors (see below), whose sum is σ = 308933190297600. Its totient is φ = 231784921916928.

The previous prime is 268063713535489. The next prime is 268063713535619. The reversal of 268063713535511 is 115535317360862.

It is not a de Polignac number, because 268063713535511 - 26 = 268063713535447 is a prime.

It is a super-2 number, since 2×2680637135355112 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268063713535711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23365730 + ... + 32895056.

It is an arithmetic number, because the mean of its divisors is an integer number (6436108131200).

Almost surely, 2268063713535511 is an apocalyptic number.

268063713535511 is a deficient number, since it is larger than the sum of its proper divisors (40869476762089).

268063713535511 is a wasteful number, since it uses less digits than its factorization.

268063713535511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529536 (or 9529519 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 56.

The spelling of 268063713535511 in words is "two hundred sixty-eight trillion, sixty-three billion, seven hundred thirteen million, five hundred thirty-five thousand, five hundred eleven".

Divisors: 1 17 19 47 109 289 323 799 893 1853 2071 5123 5491 13583 15181 31501 35207 87091 97337 258077 598519 1480547 1654729 9529327 28130393 161998559 181057213 447878369 1038696643 2753975503 3077972621 7613932273 8509689011 17657842931 19735236217 48818742221 52325534557 129436848641 144664713187 300183329827 335499015689 829918617757 927556102199 2459300124179 5703483266713 14108616501869 15768453737383 268063713535511