Search a number
-
+
38781035400252 = 22323467336189521
BaseRepresentation
bin10001101000101011010011…
…10101101100110000111100
312002022102122000222102012210
420310111221311230300330
520040342030030302002
6214251432310300420
711111560131644265
oct1064255165546074
9162272560872183
1038781035400252
11113a1a43511552
124424036357710
131884060c88302
149810253cd96c
15473bb513a96c
hex234569d6cc3c

38781035400252 has 96 divisors (see below), whose sum is σ = 94654793286144. Its totient is φ = 12334681497600.

The previous prime is 38781035400223. The next prime is 38781035400269. The reversal of 38781035400252 is 25200453018783.

38781035400252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433161252 + ... + 433250772.

It is an arithmetic number, because the mean of its divisors is an integer number (985987430064).

Almost surely, 238781035400252 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 38781035400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47327396643072).

38781035400252 is an abundant number, since it is smaller than the sum of its proper divisors (55873757885892).

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

38781035400252 is a wasteful number, since it uses less digits than its factorization.

38781035400252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93379 (or 93377 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 38781035400252 in words is "thirty-eight trillion, seven hundred eighty-one billion, thirty-five million, four hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 467 934 1401 1868 2802 3361 5604 6722 10083 10741 13444 20166 21482 32223 40332 42964 64446 77303 89521 128892 154606 179042 231909 268563 309212 358084 463818 537126 927636 1074252 1569587 2058983 3139174 4117966 4708761 6176949 6278348 8235932 9417522 12353898 18835044 24707796 36100501 41806307 72201002 83612614 108301503 125418921 144402004 167225228 216603006 250837842 300880081 433206012 501675684 601760162 902640243 961545061 1203520324 1805280486 1923090122 2884635183 3610560972 3846180244 5769270366 6920241863 11538540732 13840483726 20760725589 27680967452 41521451178 83042902356 140510997827 281021995654 421532993481 562043991308 843065986962 1686131973924 3231752950021 6463505900042 9695258850063 12927011800084 19390517700126 38781035400252