Search a number
-
+
2869205740129 = 1572107892
BaseRepresentation
bin101001110000001001111…
…111010010101001100001
3101011021220212210110010001
4221300021333102221201
5334002113132141004
610034032300340001
7414202410251221
oct51601177225141
911137825713101
102869205740129
11a06906927433
123a40a3244601
1317a746235121
149cc28158081
154e97bcde1a4
hex29c09fd2a61

2869205740129 has 9 divisors (see below), whose sum is σ = 2887865005977. Its totient is φ = 2850666300144.

The previous prime is 2869205740109. The next prime is 2869205740139. The reversal of 2869205740129 is 9210475029682.

It is a happy number.

The square root of 2869205740129 is 1693873.

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

It can be written as a sum of positive squares in 4 ways, for example, as 190248630625 + 2678957109504 = 436175^2 + 1636752^2 .

It is not a de Polignac number, because 2869205740129 - 211 = 2869205738081 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 2869205740129.

It is not an unprimeable number, because it can be changed into a prime (2869205740109) 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, 265932667 + ... + 265943455.

It is an arithmetic number, because the mean of its divisors is an integer number (320873889553).

Almost surely, 22869205740129 is an apocalyptic number.

2869205740129 is the 1693873-rd square number.

2869205740129 is the 846937-th centered octagonal number.

It is an amenable number.

2869205740129 is a deficient number, since it is larger than the sum of its proper divisors (18659265848).

2869205740129 is an frugal number, since it uses more digits than its factorization.

2869205740129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21892 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 2869205740129 in words is "two trillion, eight hundred sixty-nine billion, two hundred five million, seven hundred forty thousand, one hundred twenty-nine".

Divisors: 1 157 10789 24649 1693873 116402521 265938061 18275195797 2869205740129