Search a number
-
+
13255762416 = 24313211314461
BaseRepresentation
bin11000101100001101…
…01110000111110000
31021012211001111112120
430112012232013300
5204121433344131
610031204554240
7646330056441
oct142606560760
937184044476
1013255762416
115692594556
12269b3b2980
131333381200
148da7052c8
15528b23496
hex3161ae1f0

13255762416 has 120 divisors (see below), whose sum is σ = 37411574256. Its totient is φ = 4042321920.

The previous prime is 13255762369. The next prime is 13255762417. The reversal of 13255762416 is 61426755231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13255762417) 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, 909426 + ... + 923886.

Almost surely, 213255762416 is an apocalyptic number.

13255762416 is a gapful number since it is divisible by the number (16) 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 13255762416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18705787128).

13255762416 is an abundant number, since it is smaller than the sum of its proper divisors (24155811840).

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

13255762416 is a wasteful number, since it uses less digits than its factorization.

13255762416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14611 (or 14592 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 13255762416 in words is "thirteen billion, two hundred fifty-five million, seven hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 169 208 226 312 338 339 452 507 624 676 678 904 1014 1352 1356 1469 1808 2028 2704 2712 2938 4056 4407 5424 5876 8112 8814 11752 14461 17628 19097 23504 28922 35256 38194 43383 57291 57844 70512 76388 86766 114582 115688 152776 173532 187993 229164 231376 305552 347064 375986 458328 563979 694128 751972 916656 1127958 1503944 1634093 2255916 2443909 3007888 3268186 4511832 4887818 4902279 6536372 7331727 9023664 9775636 9804558 13072744 14663454 19551272 19609116 21243209 26145488 29326908 39102544 39218232 42486418 58653816 63729627 78436464 84972836 117307632 127459254 169945672 254918508 276161717 339891344 509837016 552323434 828485151 1019674032 1104646868 1656970302 2209293736 3313940604 4418587472 6627881208 13255762416