Search a number
-
+
715727844049 = 397221312
BaseRepresentation
bin10100110101001001011…
…01000011001011010001
32112102102022012122202111
422122210231003023101
543211302312002144
61304444551345321
7102465255203161
oct12324455031321
92472368178674
10715727844049
112565a1788719
12b6867982241
1352653a23c3a
14268da0705a1
151393ec3e534
hexa6a4b432d1

715727844049 has 9 divisors (see below), whose sum is σ = 717872097051. Its totient is φ = 713589984360.

The previous prime is 715727844017. The next prime is 715727844059. The reversal of 715727844049 is 940448727517.

The square root of 715727844049 is 846007.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 479660130625 + 236067713424 = 692575^2 + 485868^2 .

It is not a de Polignac number, because 715727844049 - 25 = 715727844017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 715727843984 and 715727844002.

It is not an unprimeable number, because it can be changed into a prime (715727844059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 335863714 + ... + 335865844.

It is an arithmetic number, because the mean of its divisors is an integer number (79763566339).

Almost surely, 2715727844049 is an apocalyptic number.

715727844049 is the 846007-th square number.

715727844049 is the 423004-th centered octagonal number.

It is an amenable number.

715727844049 is a deficient number, since it is larger than the sum of its proper divisors (2144253002).

715727844049 is an frugal number, since it uses more digits than its factorization.

715727844049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 58.

The spelling of 715727844049 in words is "seven hundred fifteen billion, seven hundred twenty-seven million, eight hundred forty-four thousand, forty-nine".

Divisors: 1 397 2131 157609 846007 4541161 335864779 1802840917 715727844049