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38835038385 = 33511132011657
BaseRepresentation
bin100100001010101111…
…111010100010110001
310201020110222100121000
4210022233322202301
51114013232212020
625501321352213
72543240244153
oct441257724261
9121213870530
1038835038385
1115519404150
127639938669
13387b908470
141c4599cad3
1510245bd090
hex90abfa8b1

38835038385 has 64 divisors (see below), whose sum is σ = 81110050560. Its totient is φ = 17380707840.

The previous prime is 38835038383. The next prime is 38835038387. The reversal of 38835038385 is 58383053883.

38835038385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38835038383) and next prime (38835038387).

It is not a de Polignac number, because 38835038385 - 21 = 38835038383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38835038383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986524 + ... + 1025133.

It is an arithmetic number, because the mean of its divisors is an integer number (1267344540).

Almost surely, 238835038385 is an apocalyptic number.

It is an amenable number.

38835038385 is an abundant number, since it is smaller than the sum of its proper divisors (42275012175).

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

38835038385 is a wasteful number, since it uses less digits than its factorization.

38835038385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011695 (or 2011689 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 38835038385 in words is "thirty-eight billion, eight hundred thirty-five million, thirty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 1287 1485 1755 2145 3861 6435 19305 2011657 6034971 10058285 18104913 22128227 26151541 30174855 54314739 66384681 78454623 90524565 110641135 130757705 199154043 235363869 271573695 287666951 331923405 392273115 597462129 706091607 863000853 995770215 1176819345 1438334755 2589002559 2987310645 3530458035 4315004265 7767007677 12945012795 38835038385