Search a number
-
+
10201493456 = 2472111182919
BaseRepresentation
bin10011000000000111…
…00110111111010000
3222022221220120011222
421200003212333100
5131343040242311
64404141224212
7510542156300
oct114003467720
928287816158
1010201493456
114365528030
121b88562068
13c6767847b
146cac13600
153ea90eadb
hex2600e6fd0

10201493456 has 60 divisors (see below), whose sum is σ = 25082635680. Its totient is φ = 3974604480.

The previous prime is 10201493453. The next prime is 10201493479. The reversal of 10201493456 is 65439410201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201493453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582836 + ... + 600083.

It is an arithmetic number, because the mean of its divisors is an integer number (418043928).

Almost surely, 210201493456 is an apocalyptic number.

10201493456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10201493456 is an abundant number, since it is smaller than the sum of its proper divisors (14881142224).

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

10201493456 is a wasteful number, since it uses less digits than its factorization.

10201493456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182952 (or 1182939 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10201493456 in words is "ten billion, two hundred one million, four hundred ninety-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 8624 1182919 2365838 4731676 8280433 9463352 13012109 16560866 18926704 26024218 33121732 52048436 57963031 66243464 91084763 104096872 115926062 132486928 182169526 208193744 231852124 364339052 463704248 637593341 728678104 927408496 1275186682 1457356208 2550373364 5100746728 10201493456