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10285827808 = 25617966701
BaseRepresentation
bin10011001010001010…
…10100011011100000
3222112211121012011111
421211011110123200
5132031132442213
64420352553104
7512615044114
oct114505243340
928484535144
1010285827808
1143a9099743
121bb0852794
13c7bc95659
146d80c7744
1540301ca3d
hex2651546e0

10285827808 has 48 divisors (see below), whose sum is σ = 20843040960. Its totient is φ = 4994496000.

The previous prime is 10285827791. The next prime is 10285827817. The reversal of 10285827808 is 80872858201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120858 + ... + 187558.

It is an arithmetic number, because the mean of its divisors is an integer number (434230020).

Almost surely, 210285827808 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 10285827808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10421520480).

10285827808 is an abundant number, since it is smaller than the sum of its proper divisors (10557213152).

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

10285827808 is an equidigital number, since it uses as much as digits as its factorization.

10285827808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66851 (or 66843 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 49.

The spelling of 10285827808 in words is "ten billion, two hundred eighty-five million, eight hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 61 79 122 158 244 316 488 632 976 1264 1952 2528 4819 9638 19276 38552 66701 77104 133402 154208 266804 533608 1067216 2134432 4068761 5269379 8137522 10538758 16275044 21077516 32550088 42155032 65100176 84310064 130200352 168620128 321432119 642864238 1285728476 2571456952 5142913904 10285827808