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38768431815 = 345112984787
BaseRepresentation
bin100100000110110001…
…110101001011000111
310201001211122101120000
4210012301311023013
51113344204304230
625450542012343
72541501143001
oct440661651307
9121054571500
1038768431815
11154948506a3
12761b5770b3
13386ab873a9
141c3abc1371
15101d812b60
hex906c752c7

38768431815 has 40 divisors (see below), whose sum is σ = 69558379440. Its totient is φ = 20657939328.

The previous prime is 38768431789. The next prime is 38768431817. The reversal of 38768431815 is 51813486783.

It is a happy number.

38768431815 is a `hidden beast` number, since 387 + 6 + 84 + 3 + 181 + 5 = 666.

It is not a de Polignac number, because 38768431815 - 25 = 38768431783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38768431817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 414852 + ... + 499638.

It is an arithmetic number, because the mean of its divisors is an integer number (1738959486).

Almost surely, 238768431815 is an apocalyptic number.

38768431815 is a deficient number, since it is larger than the sum of its proper divisors (30789947625).

38768431815 is a wasteful number, since it uses less digits than its factorization.

38768431815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85933 (or 85924 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 38768431815 in words is "thirty-eight billion, seven hundred sixty-eight million, four hundred thirty-one thousand, eight hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 135 405 1129 3387 5645 10161 16935 30483 50805 84787 91449 152415 254361 423935 457245 763083 1271805 2289249 3815415 6867747 11446245 34338735 95724523 287173569 478622615 861520707 1435867845 2584562121 4307603535 7753686363 12922810605 38768431815