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10028307776 = 2610111871307
BaseRepresentation
bin10010101011011101…
…11101010101000000
3221212220000211002112
421111232331111000
5131014221322101
64335033234452
7503340131624
oct112556752500
927786024075
1010028307776
11428679a073
121b3a562a28
13c3a81c136
146b1c11184
153da6006bb
hex255bbd540

10028307776 has 56 divisors (see below), whose sum is σ = 20129272416. Its totient is φ = 4956531200.

The previous prime is 10028307743. The next prime is 10028307791. The reversal of 10028307776 is 67770382001.

10028307776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7672115 + ... + 7673421.

Almost surely, 210028307776 is an apocalyptic number.

10028307776 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 10028307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064636208).

10028307776 is an abundant number, since it is smaller than the sum of its proper divisors (10100964640).

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

10028307776 is a wasteful number, since it uses less digits than its factorization.

10028307776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

Adding to 10028307776 its reverse (67770382001), we get a palindrome (77798689777).

The spelling of 10028307776 in words is "ten billion, twenty-eight million, three hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1187 1307 1616 2374 2614 3232 4748 5228 6464 9496 10456 18992 20912 37984 41824 75968 83648 119887 132007 239774 264014 479548 528028 959096 1056056 1551409 1918192 2112112 3102818 3836384 4224224 6205636 7672768 8448448 12411272 24822544 49645088 99290176 156692309 313384618 626769236 1253538472 2507076944 5014153888 10028307776