Search a number
-
+
5660112691200 = 2133521147103173
BaseRepresentation
bin101001001011101100100…
…0000011010000000000000
3202001002201222121021220210
41102113121000122000000
51220213402322104300
620012115254234120
71122633604025502
oct122273100320000
922032658537823
105660112691200
111892493067740
12774b74355940
13320991916c26
14157d45455d72
159c374b52050
hex525d901a000

5660112691200 has 1344 divisors, whose sum is σ = 21174842437632. Its totient is φ = 1322228121600.

The previous prime is 5660112691133. The next prime is 5660112691231. The reversal of 5660112691200 is 21962110665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32717414314 + ... + 32717414486.

Almost surely, 25660112691200 is an apocalyptic number.

5660112691200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5660112691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587421218816).

5660112691200 is an abundant number, since it is smaller than the sum of its proper divisors (15514729746432).

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

5660112691200 is a wasteful number, since it uses less digits than its factorization.

5660112691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 5660112691200 in words is "five trillion, six hundred sixty billion, one hundred twelve million, six hundred ninety-one thousand, two hundred".