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38230641345 = 35133136581
BaseRepresentation
bin100011100110101110…
…010100101011000001
310122200100200210201110
4203212232110223001
51111244021010340
625321331153533
72522251042521
oct434656245301
9118610623643
1038230641345
1115239222766
1274ab4458a9
1337b3630390
141bc95cd681
15edb4d2680
hex8e6b94ac1

38230641345 has 64 divisors (see below), whose sum is σ = 68080416768. Its totient is φ = 18211334400.

The previous prime is 38230641313. The next prime is 38230641359. The reversal of 38230641345 is 54314603283.

It is not a de Polignac number, because 38230641345 - 25 = 38230641313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

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, 5805955 + ... + 5812535.

It is an arithmetic number, because the mean of its divisors is an integer number (1063756512).

Almost surely, 238230641345 is an apocalyptic number.

It is an amenable number.

38230641345 is a deficient number, since it is larger than the sum of its proper divisors (29849775423).

38230641345 is an equidigital number, since it uses as much as digits as its factorization.

38230641345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 38230641345 in words is "thirty-eight billion, two hundred thirty million, six hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 31 39 65 93 155 195 403 465 961 1209 2015 2883 4805 6045 6581 12493 14415 19743 29791 32905 37479 62465 85553 89373 98715 148955 187395 204011 256659 387283 427765 446865 612033 1020055 1161849 1283295 1936415 2652143 3060165 5809245 6324341 7956429 13260715 18973023 31621705 39782145 82216433 94865115 196054571 246649299 411082165 588163713 980272855 1233246495 2548709423 2940818565 7646128269 12743547115 38230641345