Search a number
-
+
713310266881044 = 223474671039648191
BaseRepresentation
bin1010001000110000000111110…
…1000100100111010000010100
310110112121210110221120212010000
42202030001331010213100110
51221443333411310143134
611005030113543531300
7303150652243242330
oct24214017504472024
93415553427525100
10713310266881044
1119731220476a868
1268004385159b30
1324802b3c4ca301
14c82058899c7c0
15576ec84d0be99
hex288c07d127414

713310266881044 has 240 divisors, whose sum is σ = 2137746757386240. Its totient is φ = 203170478160960.

The previous prime is 713310266881033. The next prime is 713310266881111. The reversal of 713310266881044 is 440188662013317.

713310266881044 is a `hidden beast` number, since 7 + 1 + 331 + 0 + 266 + 8 + 8 + 1 + 0 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1100138989 + ... + 1100787179.

It is an arithmetic number, because the mean of its divisors is an integer number (8907278155776).

Almost surely, 2713310266881044 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 713310266881044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068873378693120).

713310266881044 is an abundant number, since it is smaller than the sum of its proper divisors (1424436490505196).

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

713310266881044 is a wasteful number, since it uses less digits than its factorization.

713310266881044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649720 (or 649709 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 713310266881044 in words is "seven hundred thirteen trillion, three hundred ten billion, two hundred sixty-six million, eight hundred eighty-one thousand, forty-four".