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1010444104164 = 22311109214332771
BaseRepresentation
bin11101011010000110010…
…10010111000111100100
310120121010120211212222210
432231003022113013210
5113023342142313124
62052105215523420
7133000514113215
oct16550312270744
93517116755883
101010444104164
1135a588399a40
121439b7829570
1374390c9a231
1436c9757140c
151b43d5eaa29
hexeb432971e4

1010444104164 has 96 divisors (see below), whose sum is σ = 2596926689280. Its totient is φ = 303235228800.

The previous prime is 1010444104093. The next prime is 1010444104213. The reversal of 1010444104164 is 4614014440101.

1010444104164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30817099 + ... + 30849869.

It is an arithmetic number, because the mean of its divisors is an integer number (27051319680).

Almost surely, 21010444104164 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 1010444104164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298463344640).

1010444104164 is an abundant number, since it is smaller than the sum of its proper divisors (1586482585116).

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

1010444104164 is a wasteful number, since it uses less digits than its factorization.

1010444104164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35041 (or 35039 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 1010444104164 its reverse (4614014440101), we get a palindrome (5624458544265).

The spelling of 1010444104164 in words is "one trillion, ten billion, four hundred forty-four million, one hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2143 2398 3597 4286 4796 6429 7194 8572 12858 14388 23573 25716 32771 47146 65542 70719 94292 98313 131084 141438 196626 233587 282876 360481 393252 467174 700761 720962 934348 1081443 1401522 1441924 2162886 2569457 2803044 3572039 4325772 5138914 7144078 7708371 10277828 10716117 14288156 15416742 21432234 30833484 39292429 42864468 70228253 78584858 117877287 140456506 157169716 210684759 235754574 280913012 421369518 471509148 772510783 842739036 1545021566 2317532349 3090043132 4635064698 7654879577 9270129396 15309759154 22964638731 30619518308 45929277462 84203675347 91858554924 168407350694 252611026041 336814701388 505222052082 1010444104164