Search a number
-
+
14686044032 = 271157718077
BaseRepresentation
bin11011010110101101…
…10011111110000000
31101220111101100001202
431223112303332000
5220034111402112
610425140520332
71026635212622
oct155326637600
941814340052
1014686044032
116256986280
122a1a3b00a8
1315007a2baa
149d465ac12
155ae49a6c2
hex36b5b3f80

14686044032 has 64 divisors (see below), whose sum is σ = 31974197040. Its totient is φ = 6663536640.

The previous prime is 14686044011. The next prime is 14686044049. The reversal of 14686044032 is 23044068641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 803378 + ... + 821454.

Almost surely, 214686044032 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 14686044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987098520).

14686044032 is an abundant number, since it is smaller than the sum of its proper divisors (17288153008).

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

14686044032 is a wasteful number, since it uses less digits than its factorization.

14686044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18679 (or 18667 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 14686044032 in words is "fourteen billion, six hundred eighty-six million, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 577 704 1154 1408 2308 4616 6347 9232 12694 18077 18464 25388 36154 36928 50776 72308 73856 101552 144616 198847 203104 289232 397694 406208 578464 795388 812416 1156928 1590776 2313856 3181552 6363104 10430429 12726208 20860858 25452416 41721716 83443432 114734719 166886864 229469438 333773728 458938876 667547456 917877752 1335094912 1835755504 3671511008 7343022016 14686044032