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2709227116729 = 7283228332
BaseRepresentation
bin100111011011001010100…
…001010001100010111001
3100120222222200210100022001
4213123022201101202321
5323341444120213404
65432333551301001
7366510113346400
oct47331241214271
910528880710261
102709227116729
11954a82094891
1237909681a761
1316862c5413a3
14951ad40a637
154a7171757a4
hex276ca8518b9

2709227116729 has 27 divisors (see below), whose sum is σ = 3191104272303. Its totient is φ = 2293406603712.

The previous prime is 2709227116697. The next prime is 2709227116733. The reversal of 2709227116729 is 9276117229072.

The square root of 2709227116729 is 1645973.

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., 1063528125625 + 1645698991104 = 1031275^2 + 1282848^2 .

It is not a de Polignac number, because 2709227116729 - 25 = 2709227116697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2709227116729.

It is not an unprimeable number, because it can be changed into a prime (2709227116529) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 956308897 + ... + 956311729.

Almost surely, 22709227116729 is an apocalyptic number.

2709227116729 is the 1645973-rd square number.

2709227116729 is the 822987-th centered octagonal number.

It is an amenable number.

2709227116729 is a deficient number, since it is larger than the sum of its proper divisors (481877155574).

2709227116729 is an frugal number, since it uses more digits than its factorization.

2709227116729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 55.

The spelling of 2709227116729 in words is "two trillion, seven hundred nine billion, two hundred twenty-seven million, one hundred sixteen thousand, seven hundred twenty-nine".

Divisors: 1 7 49 83 581 2833 4067 6889 19831 48223 138817 235139 337561 1645973 8025889 11521811 19516537 56181223 136615759 393268561 666148787 956310313 4663041509 32641290563 55290349321 387032445247 2709227116729