Search a number
-
+
5034879222912 = 273571129711021
BaseRepresentation
bin100100101000100011000…
…1100000000010010000000
3122211022220101112020100000
41021101012030000102000
51124442413040113122
614412554103200000
71026521000156520
oct111210614002200
918738811466300
105034879222912
11167130a075a20
12693962a46000
132a6a3027b3c6
14135991c13680
158ae7e8960ac
hex49446300480

5034879222912 has 1536 divisors, whose sum is σ = 19670592614400. Its totient is φ = 1243662336000.

The previous prime is 5034879222881. The next prime is 5034879222913. The reversal of 5034879222912 is 2192229784305.

5034879222912 is a `hidden beast` number, since 5 + 0 + 348 + 7 + 9 + 2 + 2 + 291 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5034879222913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4931320962 + ... + 4931321982.

It is an arithmetic number, because the mean of its divisors is an integer number (12806375400).

Almost surely, 25034879222912 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 5034879222912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835296307200).

5034879222912 is an abundant number, since it is smaller than the sum of its proper divisors (14635713391488).

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

5034879222912 is a wasteful number, since it uses less digits than its factorization.

5034879222912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5034879222912 in words is "five trillion, thirty-four billion, eight hundred seventy-nine million, two hundred twenty-two thousand, nine hundred twelve".