Search a number
-
+
6115120195392 = 2632132232731291
BaseRepresentation
bin101100011111100100110…
…0100010010011101000000
3210122121012020111101220200
41120333021210102131000
51300142231232223032
621001125240205200
71200542244013035
oct130771144223500
923577166441820
106115120195392
111a48453a250aa
12829199469800
13354865580400
14171d8b00138c
15a910582a47c
hex58fc9912740

6115120195392 has 252 divisors, whose sum is σ = 19805122700064. Its totient is φ = 1799767157760.

The previous prime is 6115120195391. The next prime is 6115120195399. The reversal of 6115120195392 is 2935910215116.

6115120195392 is a `hidden beast` number, since 6 + 1 + 1 + 51 + 20 + 195 + 392 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6115120195391) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 873267 + ... + 3604557.

Almost surely, 26115120195392 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 6115120195392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902561350032).

6115120195392 is an abundant number, since it is smaller than the sum of its proper divisors (13690002504672).

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

6115120195392 is a wasteful number, since it uses less digits than its factorization.

6115120195392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731358 (or 2731332 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 6115120195392 in words is "six trillion, one hundred fifteen billion, one hundred twenty million, one hundred ninety-five thousand, three hundred ninety-two".