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4261166129 = 112238914741
BaseRepresentation
bin1111110111111100…
…0011110000110001
3101222222010200000202
43331333003300301
532211324304004
61542455324545
7210411212603
oct37577036061
911888120022
104261166129
111897354200
129ab080755
1352ba7369c
142c5cd9173
1519e162b1e
hexfdfc3c31

4261166129 has 12 divisors (see below), whose sum is σ = 4686039540. Its totient is φ = 3871903200.

The previous prime is 4261166113. The next prime is 4261166131. The reversal of 4261166129 is 9216611624.

It can be written as a sum of positive squares in 2 ways, for example, as 2825135104 + 1436031025 = 53152^2 + 37895^2 .

It is not a de Polignac number, because 4261166129 - 24 = 4261166113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4261166092 and 4261166101.

It is not an unprimeable number, because it can be changed into a prime (4261166729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281699 + ... + 296439.

It is an arithmetic number, because the mean of its divisors is an integer number (390503295).

Almost surely, 24261166129 is an apocalyptic number.

It is an amenable number.

4261166129 is a deficient number, since it is larger than the sum of its proper divisors (424873411).

4261166129 is a wasteful number, since it uses less digits than its factorization.

4261166129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17152 (or 17141 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 4261166129 is about 65277.6081746260. The cubic root of 4261166129 is about 1621.2232453145.

The spelling of 4261166129 in words is "four billion, two hundred sixty-one million, one hundred sixty-six thousand, one hundred twenty-nine".

Divisors: 1 11 121 2389 14741 26279 162151 289069 1783661 35216249 387378739 4261166129