Search a number
-
+
12268912716 = 223217118716889
BaseRepresentation
bin10110110110100100…
…01100000001001100
31011200001010100020200
423123102030001030
5200111320201331
65345233213500
7613015015554
oct133322140114
934601110220
1012268912716
115226532795
122464a01290
131206a99788
1484561c164
154bc18d5e6
hex2db48c04c

12268912716 has 72 divisors (see below), whose sum is σ = 32866994160. Its totient is φ = 3845600256.

The previous prime is 12268912697. The next prime is 12268912823. The reversal of 12268912716 is 61721986221.

It is a super-3 number, since 3×122689127163 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718000 + ... + 734888.

It is an arithmetic number, because the mean of its divisors is an integer number (456486030).

Almost surely, 212268912716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12268912716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16433497080).

12268912716 is an abundant number, since it is smaller than the sum of its proper divisors (20598081444).

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

12268912716 is a wasteful number, since it uses less digits than its factorization.

12268912716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18103 (or 18098 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 12268912716 in words is "twelve billion, two hundred sixty-eight million, nine hundred twelve thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1187 2374 3561 4748 7122 10683 14244 16889 20179 21366 33778 40358 42732 50667 60537 67556 80716 101334 121074 152001 181611 202668 242148 287113 304002 363222 574226 608004 726444 861339 1148452 1722678 2584017 3445356 5168034 10336068 20047243 40094486 60141729 80188972 120283458 180425187 240566916 340803131 360850374 681606262 721700748 1022409393 1363212524 2044818786 3067228179 4089637572 6134456358 12268912716