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38869316013 = 311531011391583
BaseRepresentation
bin100100001100110010…
…101011000110101101
310201022212110211122210
4210030302223012231
51114101021103023
625504544201033
72544134510013
oct441462530655
9121285424583
1038869316013
1115536796470
127649309179
133885a4a498
141c4a3628b3
1510275de593
hex90ccab1ad

38869316013 has 64 divisors (see below), whose sum is σ = 58629795840. Its totient is φ = 22704864000.

The previous prime is 38869315997. The next prime is 38869316021. The reversal of 38869316013 is 31061396883.

It is a happy number.

It is not a de Polignac number, because 38869316013 - 24 = 38869315997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38869316033) 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 63 ways as a sum of consecutive naturals, for example, 24553420 + ... + 24555002.

It is an arithmetic number, because the mean of its divisors is an integer number (916090560).

Almost surely, 238869316013 is an apocalyptic number.

38869316013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38869316013 is a deficient number, since it is larger than the sum of its proper divisors (19760479827).

38869316013 is a wasteful number, since it uses less digits than its factorization.

38869316013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890.

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 38869316013 in words is "thirty-eight billion, eight hundred sixty-nine million, three hundred sixteen thousand, thirteen".

Divisors: 1 3 11 33 53 101 139 159 303 417 583 1111 1529 1583 1749 3333 4587 4749 5353 7367 14039 16059 17413 22101 42117 52239 58883 81037 83899 154429 159883 176649 220037 243111 251697 463287 479649 660111 744067 922889 1758713 2232201 2420407 2768667 5276139 7261221 8184737 8473799 11661961 22223737 24554211 25421397 34985883 66671211 93211789 128281571 244461107 279635367 384844713 733383321 1177858061 3533574183 12956438671 38869316013