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10254340092 = 22317257317617
BaseRepresentation
bin10011000110011010…
…01100111111111100
3222110122100110010210
421203031030333330
5132000102340332
64413310032420
7512053311153
oct114315147774
928418313123
1010254340092
114392342537
121ba21a8710
13c755bc479
146d3c4c59a
1540039cecc
hex26334cffc

10254340092 has 96 divisors (see below), whose sum is σ = 25554408768. Its totient is φ = 3189243904.

The previous prime is 10254340051. The next prime is 10254340093. The reversal of 10254340092 is 29004345201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254340093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16619368 + ... + 16619984.

It is an arithmetic number, because the mean of its divisors is an integer number (266191758).

Almost surely, 210254340092 is an apocalyptic number.

10254340092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10254340092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777204384).

10254340092 is an abundant number, since it is smaller than the sum of its proper divisors (15300068676).

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

10254340092 is a wasteful number, since it uses less digits than its factorization.

10254340092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10254340092 its reverse (29004345201), we get a palindrome (39258685293).

The spelling of 10254340092 in words is "ten billion, two hundred fifty-four million, three hundred forty thousand, ninety-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 257 317 514 617 634 771 951 1028 1234 1268 1542 1851 1902 2468 3084 3702 3804 4369 5389 7404 8738 10489 10778 13107 16167 17476 20978 21556 26214 31467 32334 41956 52428 62934 64668 81469 125868 158569 162938 195589 244407 317138 325876 391178 475707 488814 586767 634276 782356 951414 977628 1173534 1384973 1902828 2347068 2695673 2769946 3325013 4154919 5391346 5539892 6650026 8087019 8309838 9975039 10782692 13300052 16174038 16619676 19950078 32348076 39900156 50266373 100532746 150799119 201065492 301598238 603196476 854528341 1709056682 2563585023 3418113364 5127170046 10254340092