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34113764808 = 2332217672
BaseRepresentation
bin11111110001010101…
…101011110111001000
310021001110001210210200
4133301111223313020
51024331110433213
623401024212200
72315241134154
oct376125536710
9107043053720
1034113764808
1113516370462
12674076a060
1332a8739666
141918934064
15d49d72273
hex7f156bdc8

34113764808 has 36 divisors (see below), whose sum is σ = 92395691115. Its totient is φ = 11370732528.

The previous prime is 34113764803. The next prime is 34113764827. The reversal of 34113764808 is 80846731143.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34113764808 is a `hidden beast` number, since 34 + 1 + 137 + 6 + 480 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17056882404 + 17056882404 = 130602^2 + 130602^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=130602.

It is not an unprimeable number, because it can be changed into a prime (34113764803) 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, 1556341 + ... + 1578107.

Almost surely, 234113764808 is an apocalyptic number.

It is an amenable number.

34113764808 is an abundant number, since it is smaller than the sum of its proper divisors (58281926307).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34113764808 is an frugal number, since it uses more digits than its factorization.

34113764808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43546 (or 21772 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 34113764808 in words is "thirty-four billion, one hundred thirteen million, seven hundred sixty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 21767 43534 65301 87068 130602 174136 195903 261204 391806 522408 783612 1567224 473802289 947604578 1421406867 1895209156 2842813734 3790418312 4264220601 5685627468 8528441202 11371254936 17056882404 34113764808