Search a number
-
+
5116925952000 = 2143353374161
BaseRepresentation
bin100101001110110000010…
…0011011100000000000000
3200010011200100220220211000
41022131200203130000000
51132313431020431000
614514403333252000
71035454123645362
oct112354043340000
920104610826730
105116925952000
1116a3092335945
126a7840194000
132b16a743bc05
1413993672cd32
158d1828a8000
hex4a7608dc000

5116925952000 has 1920 divisors, whose sum is σ = 20232327548160. Its totient is φ = 1274019840000.

The previous prime is 5116925951999. The next prime is 5116925952023. The reversal of 5116925952000 is 2595296115.

5116925952000 is a `hidden beast` number, since 5 + 11 + 69 + 2 + 59 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×51169259520002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83884031970 + ... + 83884032030.

It is an arithmetic number, because the mean of its divisors is an integer number (10537670598).

Almost surely, 25116925952000 is an apocalyptic number.

5116925952000 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 5116925952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116163774080).

5116925952000 is an abundant number, since it is smaller than the sum of its proper divisors (15115401596160).

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

5116925952000 is an equidigital number, since it uses as much as digits as its factorization.

5116925952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 5116925952000 in words is "five trillion, one hundred sixteen billion, nine hundred twenty-five million, nine hundred fifty-two thousand".