Search a number
-
+
14297516664 = 2331722971081
BaseRepresentation
bin11010101000011001…
…01100101001111000
31100220102022002201020
431110030230221320
5213240131013124
610322421222440
71014206613024
oct152414545170
940812262636
1014297516664
116077636982
122930261a20
13146b14a542
14998c01384
1558a301379
hex35432ca78

14297516664 has 96 divisors (see below), whose sum is σ = 39279913200. Its totient is φ = 4330762240.

The previous prime is 14297516609. The next prime is 14297516683. The reversal of 14297516664 is 46661579241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 165604 + ... + 236684.

Almost surely, 214297516664 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 14297516664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639956600).

14297516664 is an abundant number, since it is smaller than the sum of its proper divisors (24982396536).

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

14297516664 is a wasteful number, since it uses less digits than its factorization.

14297516664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71153 (or 71132 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 14297516664 in words is "fourteen billion, two hundred ninety-seven million, five hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 289 348 408 493 578 696 867 986 1156 1479 1734 1972 2312 2958 3468 3944 5916 6936 8381 11832 16762 25143 33524 50286 67048 71081 100572 142162 201144 213243 284324 426486 568648 852972 1208377 1705944 2061349 2416754 3625131 4122698 4833508 6184047 7250262 8245396 9667016 12368094 14500524 16490792 20542409 24736188 29001048 35042933 41084818 49472376 61627227 70085866 82169636 105128799 123254454 140171732 164339272 210257598 246508908 280343464 420515196 493017816 595729861 841030392 1191459722 1787189583 2382919444 3574379166 4765838888 7148758332 14297516664