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10821325744 = 2431211103399
BaseRepresentation
bin10100001010000000…
…00101001110110000
31000221011020022020101
422011000011032300
5134130224410434
64545442322144
7532106515435
oct120500051660
930834208211
1010821325744
1146533a1219
122120059354
131035bc9038
1474927db8c
15435048b14
hex2850053b0

10821325744 has 40 divisors (see below), whose sum is σ = 21745433600. Its totient is φ = 5211259200.

The previous prime is 10821325733. The next prime is 10821325751. The reversal of 10821325744 is 44752312801.

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, 52957 + ... + 156355.

It is an arithmetic number, because the mean of its divisors is an integer number (543635840).

Almost surely, 210821325744 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 10821325744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872716800).

10821325744 is an abundant number, since it is smaller than the sum of its proper divisors (10924107856).

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

10821325744 is a wasteful number, since it uses less digits than its factorization.

10821325744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103649 (or 103643 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 10821325744 in words is "ten billion, eight hundred twenty-one million, three hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 211 248 422 496 844 1688 3376 6541 13082 26164 52328 103399 104656 206798 413596 827192 1654384 3205369 6410738 12821476 21817189 25642952 43634378 51285904 87268756 174537512 349075024 676332859 1352665718 2705331436 5410662872 10821325744