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10164241422 = 2367978747
BaseRepresentation
bin10010111011101011…
…00000010000001110
3222020100210222000000
421131311200100032
5131304021211142
64400330545130
7506610424626
oct113565402016
928210728000
1010164241422
1143464a4025
121b77b981a6
13c5ca3464a
146c5cb7886
153e750214c
hex25dd6040e

10164241422 has 56 divisors (see below), whose sum is σ = 22890384216. Its totient is φ = 3383442576.

The previous prime is 10164241411. The next prime is 10164241427. The reversal of 10164241422 is 22414246101.

10164241422 is a `hidden beast` number, since 1 + 0 + 1 + 642 + 4 + 14 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164241427) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1157653 + ... + 1166399.

It is an arithmetic number, because the mean of its divisors is an integer number (408756861).

Almost surely, 210164241422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164241422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445192108).

10164241422 is an abundant number, since it is smaller than the sum of its proper divisors (12726142794).

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

10164241422 is an frugal number, since it uses more digits than its factorization.

10164241422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10164241422 its reverse (22414246101), we get a palindrome (32578487523).

The spelling of 10164241422 in words is "ten billion, one hundred sixty-four million, two hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 797 1458 1594 2391 4782 7173 8747 14346 17494 21519 26241 43038 52482 64557 78723 129114 157446 193671 236169 387342 472338 581013 708507 1162026 1417014 2125521 4251042 6376563 6971359 12753126 13942718 20914077 41828154 62742231 125484462 188226693 376453386 564680079 1129360158 1694040237 3388080474 5082120711 10164241422