Search a number
-
+
5150094642000 = 2433537111238599
BaseRepresentation
bin100101011110001100110…
…0011111100101101010000
3200020100021221122221201000
41022330121203330231100
51133334343212021000
614541530521342000
71041040101111450
oct112743143745520
920210257587630
105150094642000
111706163187640
126b2158337900
132b486212c4b9
1413b3a1931d60
158de74798000
hex4af198fcb50

5150094642000 has 640 divisors, whose sum is σ = 23001099264000. Its totient is φ = 1070148672000.

The previous prime is 5150094641987. The next prime is 5150094642167. The reversal of 5150094642000 is 2464900515.

5150094642000 is a `hidden beast` number, since 5 + 1 + 5 + 0 + 0 + 9 + 4 + 642 + 0 + 0 + 0 = 666.

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

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, 3538701 + ... + 4777299.

It is an arithmetic number, because the mean of its divisors is an integer number (35939217600).

Almost surely, 25150094642000 is an apocalyptic number.

5150094642000 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 5150094642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500549632000).

5150094642000 is an abundant number, since it is smaller than the sum of its proper divisors (17851004622000).

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

5150094642000 is a wasteful number, since it uses less digits than its factorization.

5150094642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238649 (or 1238627 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5150094642000 in words is "five trillion, one hundred fifty billion, ninety-four million, six hundred forty-two thousand".