Search a number
-
+
14816900672 = 267213136067
BaseRepresentation
bin11011100110010011…
…11111011001000000
31102020121121112121222
431303021333121000
5220321111310142
610450133334212
71033114402100
oct156311773100
942217545558
1014816900672
116313832862
122a56197368
13152192b562
14a07ba1200
155babe7bd2
hex37327f640

14816900672 has 84 divisors (see below), whose sum is σ = 34464705264. Its totient is φ = 6301451520.

The previous prime is 14816900627. The next prime is 14816900699. The reversal of 14816900672 is 27600961841.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392783 + ... + 428849.

Almost surely, 214816900672 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 14816900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17232352632).

14816900672 is an abundant number, since it is smaller than the sum of its proper divisors (19647804592).

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

14816900672 is a wasteful number, since it uses less digits than its factorization.

14816900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36224 (or 36207 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 14816900672 in words is "fourteen billion, eight hundred sixteen million, nine hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 131 196 224 262 392 448 524 784 917 1048 1568 1834 2096 3136 3668 4192 6419 7336 8384 12838 14672 25676 29344 36067 51352 58688 72134 102704 144268 205408 252469 288536 410816 504938 577072 1009876 1154144 1767283 2019752 2308288 3534566 4039504 4724777 7069132 8079008 9449554 14138264 16158016 18899108 28276528 33073439 37798216 56553056 66146878 75596432 113106112 132293756 151192864 231514073 264587512 302385728 463028146 529175024 926056292 1058350048 1852112584 2116700096 3704225168 7408450336 14816900672