Search a number
-
+
5073965481920 = 265178325144771
BaseRepresentation
bin100100111010101111111…
…1010001111111111000000
3122222001210101012220211112
41021311133322033333000
51131112440130410140
614442540401302452
71032403410661436
oct111653772177700
918861711186745
105073965481920
111686947266915
1269b450934a28
132aa61bc35a0a
1413781ccc8d56
158bebb039c65
hex49d5fe8ffc0

5073965481920 has 224 divisors, whose sum is σ = 12999115374336. Its totient is φ = 1879623680000.

The previous prime is 5073965481913. The next prime is 5073965481947. The reversal of 5073965481920 is 291845693705.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5073965481920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113309135 + ... + 113353905.

It is an arithmetic number, because the mean of its divisors is an integer number (58031765064).

It is a 1-persistent number, because it is pandigital, but 2⋅5073965481920 = 10147930963840 is not.

Almost surely, 25073965481920 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 5073965481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499557687168).

5073965481920 is an abundant number, since it is smaller than the sum of its proper divisors (7925149892416).

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

5073965481920 is a wasteful number, since it uses less digits than its factorization.

5073965481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45139 (or 45129 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 59.

The spelling of 5073965481920 in words is "five trillion, seventy-three billion, nine hundred sixty-five million, four hundred eighty-one thousand, nine hundred twenty".