Search a number
-
+
29250244821928 = 23131783251794137
BaseRepresentation
bin1101010011010010110100…
…11100111100001110101000
310211120021222212001102200011
412221221122130330032220
512313214000133300203
6142113213231421304
76106155222464404
oct651513234741650
9124507885042604
1029250244821928
119357a60716789
123344a87984834
131342394b81150
14731a10084104
1535acecadb76d
hex1a9a5a73c3a8

29250244821928 has 128 divisors (see below), whose sum is σ = 63542983835520. Its totient is φ = 12502877184000.

The previous prime is 29250244821907. The next prime is 29250244821937. The reversal of 29250244821928 is 82912844205292.

It is a happy 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, 36435676 + ... + 37229812.

It is an arithmetic number, because the mean of its divisors is an integer number (496429561215).

Almost surely, 229250244821928 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 29250244821928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31771491917760).

29250244821928 is an abundant number, since it is smaller than the sum of its proper divisors (34292739013592).

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

29250244821928 is a wasteful number, since it uses less digits than its factorization.

29250244821928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794507 (or 794503 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 29250244821928 in words is "twenty-nine trillion, two hundred fifty billion, two hundred forty-four million, eight hundred twenty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 83 104 136 166 221 251 332 442 502 664 884 1004 1079 1411 1768 2008 2158 2822 3263 4267 4316 5644 6526 8534 8632 11288 13052 17068 18343 20833 26104 34136 36686 41666 55471 73372 83332 110942 146744 166664 221884 270829 354161 443768 541658 708322 794137 1083316 1416644 1588274 2166632 2833288 3176548 4604093 6353096 9208186 10323781 13500329 18416372 20647562 27000658 36832744 41295124 54001316 65913371 82590248 108002632 131826742 175504277 199328387 263653484 351008554 398656774 527306968 702017108 797313548 856873823 1120527307 1404034216 1594627096 1713747646 2241054614 2591269031 3388582579 3427495292 4482109228 5182538062 6777165158 6854990584 8964218456 10365076124 13554330316 14566854991 16544256121 20730152248 27108660632 29133709982 33088512242 44051573527 58267419964 66177024484 88103147054 116534839928 132354048968 176206294108 215075329573 281252354057 352412588216 430150659146 562504708114 860301318292 1125009416228 1720602636584 2250018832456 3656280602741 7312561205482 14625122410964 29250244821928