Search a number
-
+
5279397806592 = 29337134196713
BaseRepresentation
bin100110011010011010010…
…1000011000001000000000
3200200201001022101021212000
41030310310220120020000
51142444201314302332
615121153305104000
71053265253634630
oct114646450301000
920621038337760
105279397806592
111755a86478a38
12713223788000
132c3aca832190
1414374a6486c0
15924e1361b7c
hex4cd34a18200

5279397806592 has 320 divisors, whose sum is σ = 19233708130560. Its totient is φ = 1392368320512.

The previous prime is 5279397806549. The next prime is 5279397806593. The reversal of 5279397806592 is 2956087939725.

5279397806592 is a `hidden beast` number, since 5 + 2 + 79 + 397 + 80 + 6 + 5 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5279397806592.

It is not an unprimeable number, because it can be changed into a prime (5279397806593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840373 + ... + 3356340.

It is an arithmetic number, because the mean of its divisors is an integer number (60105337908).

Almost surely, 25279397806592 is an apocalyptic number.

5279397806592 is a gapful number since it is divisible by the number (52) 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 5279397806592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616854065280).

5279397806592 is an abundant number, since it is smaller than the sum of its proper divisors (13954310323968).

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

5279397806592 is a wasteful number, since it uses less digits than its factorization.

5279397806592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196760 (or 4196738 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 5279397806592 in words is "five trillion, two hundred seventy-nine billion, three hundred ninety-seven million, eight hundred six thousand, five hundred ninety-two".