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13217870268 = 2232739115521
BaseRepresentation
bin11000100111101100…
…01011000110111100
31021010011202101021200
430103312023012330
5204032233322033
610023332455500
7645360020631
oct142366130674
937104671250
1013217870268
115673163629
12268a77a590
131328574c15
148d5680188
1552563b013
hex313d8b1bc

13217870268 has 72 divisors (see below), whose sum is σ = 33912854976. Its totient is φ = 4340044800.

The previous prime is 13217870261. The next prime is 13217870291. The reversal of 13217870268 is 86207871231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13217870261) 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, 2391348 + ... + 2396868.

Almost surely, 213217870268 is an apocalyptic number.

13217870268 is a gapful number since it is divisible by the number (18) 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 13217870268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956427488).

13217870268 is an abundant number, since it is smaller than the sum of its proper divisors (20694984708).

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

13217870268 is a wasteful number, since it uses less digits than its factorization.

13217870268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 13217870268 in words is "thirteen billion, two hundred seventeen million, eight hundred seventy thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 911 1314 1822 2628 2733 3644 5466 5521 8199 10932 11042 16398 16563 22084 32796 33126 49689 66252 66503 99378 133006 198756 199509 266012 399018 403033 598527 798036 806066 1197054 1209099 1612132 2394108 2418198 3627297 4836396 5029631 7254594 10059262 14509188 15088893 20118524 30177786 45266679 60355572 90533358 181066716 367163063 734326126 1101489189 1468652252 2202978378 3304467567 4405956756 6608935134 13217870268