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4065720169 = 7291092
BaseRepresentation
bin1111001001010101…
…1111011101101001
3101111100100222120111
43302111133131221
531311311021134
61511234254321
7202516023400
oct36225373551
911440328514
104065720169
1117a6aa1815
129557273a1
134ca4221a4
142a7d80637
1518be07c64
hexf255f769

4065720169 has 9 divisors (see below), whose sum is σ = 4730030487. Its totient is φ = 3484520424.

The previous prime is 4065720157. The next prime is 4065720203. The reversal of 4065720169 is 9610275604.

The square root of 4065720169 is 63763.

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., 458516569 + 3607203600 = 21413^2 + 60060^2 .

It is not a de Polignac number, because 4065720169 - 215 = 4065687401 is a prime.

It is a super-2 number, since 2×40657201692 = 33060160985226777122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4065729169) 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, 441787 + ... + 450895.

It is an arithmetic number, because the mean of its divisors is an integer number (525558943).

Almost surely, 24065720169 is an apocalyptic number.

4065720169 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4065720169 is the 63763-rd square number.

4065720169 is the 31882-nd centered octagonal number.

It is an amenable number.

4065720169 is a deficient number, since it is larger than the sum of its proper divisors (664310318).

4065720169 is an frugal number, since it uses more digits than its factorization.

4065720169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18232 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The cubic root of 4065720169 is about 1596.0475580883.

The spelling of 4065720169 in words is "four billion, sixty-five million, seven hundred twenty thousand, one hundred sixty-nine".

Divisors: 1 7 49 9109 63763 446341 82973881 580817167 4065720169