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10824890568 = 23323167117427
BaseRepresentation
bin10100001010011011…
…01011100011001000
31000221101221102020220
422011031223203020
5134132132444233
64550050550040
7532152023502
oct120515534310
930841842226
1010824890568
114655406558
122121298320
1310368767bb
1474992ad72
154354eeeb3
hex28536b8c8

10824890568 has 64 divisors (see below), whose sum is σ = 28408181760. Its totient is φ = 3430718016.

The previous prime is 10824890521. The next prime is 10824890579. The reversal of 10824890568 is 86509842801.

It is a self number, because there is not a number n which added to its sum of digits gives 10824890568.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33471 + ... + 150897.

It is an arithmetic number, because the mean of its divisors is an integer number (443877840).

Almost surely, 210824890568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10824890568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204090880).

10824890568 is an abundant number, since it is smaller than the sum of its proper divisors (17583291192).

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

10824890568 is a wasteful number, since it uses less digits than its factorization.

10824890568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117626 (or 117622 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 10824890568 in words is "ten billion, eight hundred twenty-four million, eight hundred ninety thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 167 184 276 334 501 552 668 1002 1336 2004 3841 4008 7682 11523 15364 23046 30728 46092 92184 117427 234854 352281 469708 704562 939416 1409124 2700821 2818248 5401642 8102463 10803284 16204926 19610309 21606568 32409852 39220618 58830927 64819704 78441236 117661854 156882472 235323708 451037107 470647416 902074214 1353111321 1804148428 2706222642 3608296856 5412445284 10824890568