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10285474896 = 24321937101603
BaseRepresentation
bin10011001010000111…
…11110010001010000
3222112210221021001200
421211003332101100
5132031040144041
64420341231200
7512612044164
oct114503762120
928483837050
1010285474896
1143a8978584
121bb0702500
13c7bba0b28
146d8034ca4
15402e9d1b6
hex2650fe450

10285474896 has 120 divisors (see below), whose sum is σ = 31119273120. Its totient is φ = 3160228608.

The previous prime is 10285474891. The next prime is 10285474907. The reversal of 10285474896 is 69847458201.

It is a happy number.

10285474896 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 547 + 4 + 8 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285474891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50431 + ... + 152033.

It is an arithmetic number, because the mean of its divisors is an integer number (259327276).

Almost surely, 210285474896 is an apocalyptic number.

10285474896 is a gapful number since it is divisible by the number (16) 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 10285474896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559636560).

10285474896 is an abundant number, since it is smaller than the sum of its proper divisors (20833798224).

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

10285474896 is a wasteful number, since it uses less digits than its factorization.

10285474896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101673 (or 101664 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10285474896 in words is "ten billion, two hundred eighty-five million, four hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 37 38 48 57 72 74 76 111 114 144 148 152 171 222 228 296 304 333 342 444 456 592 666 684 703 888 912 1332 1368 1406 1776 2109 2664 2736 2812 4218 5328 5624 6327 8436 11248 12654 16872 25308 33744 50616 101232 101603 203206 304809 406412 609618 812824 914427 1219236 1625648 1828854 1930457 2438472 3657708 3759311 3860914 4876944 5791371 7315416 7518622 7721828 11277933 11582742 14630832 15037244 15443656 17374113 22555866 23165484 30074488 30887312 33833799 34748226 45111732 46330968 60148976 67667598 69496452 71426909 90223464 92661936 135335196 138992904 142853818 180446928 214280727 270670392 277985808 285707636 428561454 541340784 571415272 642842181 857122908 1142830544 1285684362 1714245816 2571368724 3428491632 5142737448 10285474896