Search a number
-
+
5279611795920 = 243257111771257307
BaseRepresentation
bin100110011010100000101…
…1000101011100111010000
3200200201121020001002000200
41030311001120223213100
51143000121104432140
615121230431415200
71053303462545340
oct114650130534720
920621536032020
105279611795920
111756086246320
12713283384500
132c3b32c76a97
1414376ac2cd20
1592505031030
hex4cd4162b9d0

5279611795920 has 1920 divisors, whose sum is σ = 23905781932032. Its totient is φ = 1010722406400.

The previous prime is 5279611795841. The next prime is 5279611795921. The reversal of 5279611795920 is 295971169725.

5279611795920 is a `hidden beast` number, since 5 + 2 + 7 + 9 + 611 + 7 + 9 + 5 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5279611795921) 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 383 ways as a sum of consecutive naturals, for example, 17197432407 + ... + 17197432713.

Almost surely, 25279611795920 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 5279611795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952890966016).

5279611795920 is an abundant number, since it is smaller than the sum of its proper divisors (18626170136112).

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

5279611795920 is a wasteful number, since it uses less digits than its factorization.

5279611795920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 5279611795920 in words is "five trillion, two hundred seventy-nine billion, six hundred eleven million, seven hundred ninety-five thousand, nine hundred twenty".