Search a number
-
+
12386416032 = 253243008389
BaseRepresentation
bin10111000100100100…
…11011010110100000
31011222020020010111100
423202102123112200
5200331410303112
65405031514400
7615642541044
oct134222332640
934866203440
1012386416032
115286899771
122498228a00
13122522b173
14857088024
154c764e2dc
hex2e249b5a0

12386416032 has 36 divisors (see below), whose sum is σ = 35223871410. Its totient is φ = 4128805248.

The previous prime is 12386415983. The next prime is 12386416033. The reversal of 12386416032 is 23061468321.

12386416032 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 6 + 41 + 603 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12169619856 + 216796176 = 110316^2 + 14724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12386416033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21503907 + ... + 21504482.

Almost surely, 212386416032 is an apocalyptic number.

12386416032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12386416032 is an abundant number, since it is smaller than the sum of its proper divisors (22837455378).

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

12386416032 is a wasteful number, since it uses less digits than its factorization.

12386416032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43008405 (or 43008394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12386416032 in words is "twelve billion, three hundred eighty-six million, four hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43008389 86016778 129025167 172033556 258050334 344067112 387075501 516100668 688134224 774151002 1032201336 1376268448 1548302004 2064402672 3096604008 4128805344 6193208016 12386416032