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20509817904 = 24321016772083
BaseRepresentation
bin10011000110011110…
…101111110000110000
31221221100211200221100
4103012132233300300
5314001003133104
613231100324400
71324152401322
oct230636576060
957840750840
1020509817904
118775291834
123b84843700
131c1b1b9734
14dc7cb5612
158008c3139
hex4c67afc30

20509817904 has 120 divisors (see below), whose sum is σ = 58080804912. Its totient is φ = 6755673600.

The previous prime is 20509817893. The next prime is 20509817921. The reversal of 20509817904 is 40971890502.

It is a self number, because there is not a number n which added to its sum of digits gives 20509817904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9845247 + ... + 9847329.

Almost surely, 220509817904 is an apocalyptic number.

20509817904 is a gapful number since it is divisible by the number (24) 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 20509817904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29040402456).

20509817904 is an abundant number, since it is smaller than the sum of its proper divisors (37570987008).

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

20509817904 is a wasteful number, since it uses less digits than its factorization.

20509817904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 20509817904 in words is "twenty billion, five hundred nine million, eight hundred seventeen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 677 808 909 1212 1354 1616 1818 2031 2083 2424 2708 3636 4062 4166 4848 5416 6093 6249 7272 8124 8332 10832 12186 12498 14544 16248 16664 18747 24372 24996 32496 33328 37494 48744 49992 68377 74988 97488 99984 136754 149976 205131 210383 273508 299952 410262 420766 547016 615393 631149 820524 841532 1094032 1230786 1262298 1410191 1641048 1683064 1893447 2461572 2524596 2820382 3282096 3366128 3786894 4230573 4923144 5049192 5640764 7573788 8461146 9846288 10098384 11281528 12691719 15147576 16922292 22563056 25383438 30295152 33844584 50766876 67689168 101533752 142429291 203067504 284858582 427287873 569717164 854575746 1139434328 1281863619 1709151492 2278868656 2563727238 3418302984 5127454476 6836605968 10254908952 20509817904