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34379463889 = 157211812
BaseRepresentation
bin100000000001001011…
…001111110011010001
310021201222000201102101
4200001023033303101
51030402120321024
623443235120401
72324645423101
oct400113176321
9107658021371
1034379463889
1113642347081
1267b5743101
13331b7b7954
141941d39201
15d63357c44
hex8012cfcd1

34379463889 has 9 divisors (see below), whose sum is σ = 34629158001. Its totient is φ = 34131561360.

The previous prime is 34379463829. The next prime is 34379463901. The reversal of 34379463889 is 98836497343.

The square root of 34379463889 is 185417.

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 2627075025 + 31752388864 = 51255^2 + 178192^2 .

It is a de Polignac number, because none of the positive numbers 2k-34379463889 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 34379463889.

It is not an unprimeable number, because it can be changed into a prime (34379463829) 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, 29109879 + ... + 29111059.

Almost surely, 234379463889 is an apocalyptic number.

34379463889 is the 185417-th square number.

34379463889 is the 92709-th centered octagonal number.

It is an amenable number.

34379463889 is a deficient number, since it is larger than the sum of its proper divisors (249694112).

34379463889 is an frugal number, since it uses more digits than its factorization.

34379463889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 1338 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 64.

Multiplying 34379463889 by its sum of digits (64), we get a square (2200285688896 = 14833362).

The spelling of 34379463889 in words is "thirty-four billion, three hundred seventy-nine million, four hundred sixty-three thousand, eight hundred eighty-nine".

Divisors: 1 157 1181 24649 185417 1394761 29110469 218977477 34379463889