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10828333568 = 29133743969
BaseRepresentation
bin10100001010110101…
…10100001000000000
31000221122102100011102
422011122310020000
5134134023133233
64550252433532
7532223213423
oct120532641000
930848370142
1010828333568
114657348308
1221224788a8
1310374b0990
1474a1859ba
154359801e8
hex2856b4200

10828333568 has 80 divisors (see below), whose sum is σ = 23930056920. Its totient is φ = 4862509056.

The previous prime is 10828333559. The next prime is 10828333591. The reversal of 10828333568 is 86533382801.

It can be written as a sum of positive squares in 4 ways, for example, as 10041643264 + 786690304 = 100208^2 + 28048^2 .

It is a super-2 number, since 2×108283335682 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224288 + ... + 268256.

Almost surely, 210828333568 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 10828333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965028460).

10828333568 is an abundant number, since it is smaller than the sum of its proper divisors (13101723352).

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

10828333568 is an equidigital number, since it uses as much as digits as its factorization.

10828333568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44037 (or 44021 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 10828333568 in words is "ten billion, eight hundred twenty-eight million, three hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 832 962 1184 1664 1924 2368 3328 3848 4736 6656 7696 9472 15392 18944 30784 43969 61568 87938 123136 175876 246272 351752 571597 703504 1143194 1407008 1626853 2286388 2814016 3253706 4572776 5628032 6507412 9145552 11256064 13014824 18291104 21149089 22512128 26029648 36582208 42298178 52059296 73164416 84596356 104118592 146328832 169192712 208237184 292657664 338385424 416474368 676770848 832948736 1353541696 2707083392 5414166784 10828333568