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2664934129 = 112132194
BaseRepresentation
bin1001111011010111…
…1010101011110001
320212201112200101001
42132311322223301
520424210343004
61120234442001
7123016365154
oct23665725361
96781480331
102664934129
111148316500
12624593301
13336159a00
141b3d05c9b
15108e5a1a4
hex9ed7aaf1

2664934129 has 45 divisors (see below), whose sum is σ = 3348097179. Its totient is φ = 2118607920.

The previous prime is 2664934117. The next prime is 2664934147. The reversal of 2664934129 is 9214394662.

The square root of 2664934129 is 51623.

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., 394221025 + 2270713104 = 19855^2 + 47652^2 .

It is not a de Polignac number, because 2664934129 - 227 = 2530716401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2664934109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 140259682 + ... + 140259700.

Almost surely, 22664934129 is an apocalyptic number.

2664934129 is the 51623-rd square number.

2664934129 is the 25812-nd centered octagonal number.

It is an amenable number.

2664934129 is a deficient number, since it is larger than the sum of its proper divisors (683163050).

2664934129 is an frugal number, since it uses more digits than its factorization.

2664934129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 43 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The cubic root of 2664934129 is about 1386.4221650075.

The spelling of 2664934129 in words is "two billion, six hundred sixty-four million, nine hundred thirty-four thousand, one hundred twenty-nine".

Divisors: 1 11 13 19 121 143 169 209 247 361 1573 1859 2299 2717 3211 3971 4693 6859 20449 29887 35321 43681 51623 61009 75449 89167 130321 388531 567853 671099 829939 980837 1159171 1433531 1694173 7382089 10789207 12750881 15768841 18635903 22024249 140259691 204994933 242266739 2664934129