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14219015962968 = 23321753219185719
BaseRepresentation
bin1100111011101001111101…
…1001010100000101011000
31212100022202200002122110200
43032322133121110011120
53330431021041303333
650124043055142200
72665201320333615
oct316723731240530
955308680078420
1014219015962968
114592283905263
1217178a7814960
137c1b02b0c5cb
143722bdc8150c
15199d08a11c13
hexcee9f654158

14219015962968 has 96 divisors (see below), whose sum is σ = 41544461368800. Its totient is φ = 4376700417024.

The previous prime is 14219015962961. The next prime is 14219015962969. The reversal of 14219015962968 is 86926951091241.

14219015962968 is a `hidden beast` number, since 1 + 4 + 2 + 19 + 0 + 1 + 596 + 29 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14219015962961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109527988 + ... + 109657731.

It is an arithmetic number, because the mean of its divisors is an integer number (432754805925).

Almost surely, 214219015962968 is an apocalyptic number.

14219015962968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14219015962968 is an abundant number, since it is smaller than the sum of its proper divisors (27325445405832).

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

14219015962968 is a wasteful number, since it uses less digits than its factorization.

14219015962968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219185801 (or 219185794 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 14219015962968 in words is "fourteen trillion, two hundred nineteen billion, fifteen million, nine hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 408 424 477 612 636 901 954 1224 1272 1802 1908 2703 3604 3816 5406 7208 8109 10812 16218 21624 32436 64872 219185719 438371438 657557157 876742876 1315114314 1753485752 1972671471 2630228628 3726157223 3945342942 5260457256 7452314446 7890685884 11178471669 11616843107 14904628892 15781371768 22356943338 23233686214 29809257784 33535415007 34850529321 44713886676 46467372428 67070830014 69701058642 89427773352 92934744856 104551587963 134141660028 139402117284 197486332819 209103175926 268283320056 278804234568 394972665638 418206351852 592458998457 789945331276 836412703704 1184917996914 1579890662552 1777376995371 2369835993828 3554753990742 4739671987656 7109507981484 14219015962968