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38781368064 = 2832142911779
BaseRepresentation
bin100100000111100011…
…001011011100000000
310201002201222121202100
4210013203023130000
51113411012234224
625452123150400
72542016122005
oct440743133400
9121081877670
1038781368064
11154a108690a
127623975400
13387076658a
141c3c7cb8ac
15101ea1aac9
hex9078cb700

38781368064 has 108 divisors (see below), whose sum is σ = 111903992200. Its totient is φ = 12916979712.

The previous prime is 38781368053. The next prime is 38781368089. The reversal of 38781368064 is 46086318783.

It is a self number, because there is not a number n which added to its sum of digits gives 38781368064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3286527 + ... + 3298305.

Almost surely, 238781368064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38781368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55951996100).

38781368064 is an abundant number, since it is smaller than the sum of its proper divisors (73122624136).

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

38781368064 is a wasteful number, since it uses less digits than its factorization.

38781368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13230 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38781368064 in words is "thirty-eight billion, seven hundred eighty-one million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1429 2304 2858 4287 5716 8574 11432 11779 12861 17148 22864 23558 25722 34296 35337 45728 47116 51444 68592 70674 91456 94232 102888 106011 137184 141348 182912 188464 205776 212022 274368 282696 365824 376928 411552 424044 548736 565392 753856 823104 848088 1097472 1130784 1507712 1646208 1696176 2261568 3015424 3292416 3392352 4523136 6784704 9046272 13569408 16832191 27138816 33664382 50496573 67328764 100993146 134657528 151489719 201986292 269315056 302979438 403972584 538630112 605958876 807945168 1077260224 1211917752 1615890336 2154520448 2423835504 3231780672 4309040896 4847671008 6463561344 9695342016 12927122688 19390684032 38781368064