Search a number
-
+
5162472792000 = 26355310126293
BaseRepresentation
bin100101100011111101101…
…0110110101111111000000
3200021112020121100010100000
41023013323112311333000
51134040221013321000
614551335100200000
71041655613464356
oct113077326657700
920245217303300
105162472792000
11171043533a977
126b4631839000
132b5a85725104
1413bc178677d6
158e44b313000
hex4b1fb5b5fc0

5162472792000 has 672 divisors, whose sum is σ = 19341338837184. Its totient is φ = 1362977280000.

The previous prime is 5162472791929. The next prime is 5162472792011. The reversal of 5162472792000 is 2972742615.

5162472792000 is a `hidden beast` number, since 51 + 62 + 472 + 79 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×51624727920002 (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 95 ways as a sum of consecutive naturals, for example, 196330854 + ... + 196357146.

It is an arithmetic number, because the mean of its divisors is an integer number (28781754222).

Almost surely, 25162472792000 is an apocalyptic number.

5162472792000 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 5162472792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9670669418592).

5162472792000 is an abundant number, since it is smaller than the sum of its proper divisors (14178866045184).

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

5162472792000 is a wasteful number, since it uses less digits than its factorization.

5162472792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26436 (or 26404 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 5162472792000 in words is "five trillion, one hundred sixty-two billion, four hundred seventy-two million, seven hundred ninety-two thousand".