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14912659216 = 2472131786069
BaseRepresentation
bin11011110001101110…
…10001111100010000
31102111021210120122201
431320313101330100
5221020120043331
610503434012544
71035356340400
oct157067217420
942437716581
1014912659216
116362897654
122a82277154
131538718610
14a167aa800
155c4310a61
hex378dd1f10

14912659216 has 120 divisors (see below), whose sum is σ = 38325593880. Its totient is φ = 5552418816.

The previous prime is 14912659211. The next prime is 14912659217. The reversal of 14912659216 is 61295621941.

It can be written as a sum of positive squares in 4 ways, for example, as 1128960000 + 13783699216 = 33600^2 + 117404^2 .

It is not an unprimeable number, because it can be changed into a prime (14912659211) 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, 130230 + ... + 216298.

It is an arithmetic number, because the mean of its divisors is an integer number (319379949).

Almost surely, 214912659216 is an apocalyptic number.

14912659216 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 14912659216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162796940).

14912659216 is an abundant number, since it is smaller than the sum of its proper divisors (23412934664).

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

14912659216 is a wasteful number, since it uses less digits than its factorization.

14912659216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86121 (or 86108 counting only the distinct ones).

The product of its digits is 233280, while the sum is 46.

The spelling of 14912659216 in words is "fourteen billion, nine hundred twelve million, six hundred fifty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 49 52 56 68 91 98 104 112 119 136 182 196 208 221 238 272 364 392 442 476 637 728 784 833 884 952 1274 1456 1547 1666 1768 1904 2548 3094 3332 3536 5096 6188 6664 10192 10829 12376 13328 21658 24752 43316 86069 86632 172138 173264 344276 602483 688552 1118897 1204966 1377104 1463173 2237794 2409932 2926346 4217381 4475588 4819864 5852692 7832279 8434762 8951176 9639728 10242211 11705384 15664558 16869524 17902352 19021249 20484422 23410768 31329116 33739048 38042498 40968844 54825953 62658232 67478096 71695477 76084996 81937688 109651906 125316464 133148743 143390954 152169992 163875376 219303812 266297486 286781908 304339984 438607624 532594972 573563816 877215248 932041201 1065189944 1147127632 1864082402 2130379888 3728164804 7456329608 14912659216