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39720888601 = 41248612
BaseRepresentation
bin100100111111100011…
…001010100100011001
310210112012212012122021
4210333203022210121
51122322021413401
630125244254441
72604214660642
oct447743124431
9123465765567
1039720888601
1115933451569
127846541421
1339902b94a4
141ccb4b46c9
1510772522a1
hex93f8ca919

39720888601 has 9 divisors (see below), whose sum is σ = 40721697309. Its totient is φ = 38744114400.

The previous prime is 39720888593. The next prime is 39720888631. The reversal of 39720888601 is 10688802793.

The square root of 39720888601 is 199301.

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

39720888601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 175589001 + 39545299600 = 13251^2 + 198860^2 .

It is not a de Polignac number, because 39720888601 - 23 = 39720888593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39720888631) 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, 8168911 + ... + 8173771.

Almost surely, 239720888601 is an apocalyptic number.

39720888601 is the 199301-st square number.

39720888601 is the 99651-st centered octagonal number.

It is an amenable number.

39720888601 is a deficient number, since it is larger than the sum of its proper divisors (1000808708).

39720888601 is an frugal number, since it uses more digits than its factorization.

39720888601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9804 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

It can be divided in two parts, 397208 and 88601, that added together give a square (485809 = 6972).

The spelling of 39720888601 in words is "thirty-nine billion, seven hundred twenty million, eight hundred eighty-eight thousand, six hundred one".

Divisors: 1 41 1681 4861 199301 8171341 23629321 968802161 39720888601