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10848373440 = 2635157167431
BaseRepresentation
bin10100001101001110…
…10000101011000000
31001000001010110200220
422012213100223000
5134204140422230
64552250143040
7532555436622
oct120647205300
931001113626
1010848373440
114667695593
122129121a80
13103b6a92a8
1474cac0c12
154375dcd10
hex2869d0ac0

10848373440 has 224 divisors, whose sum is σ = 34951440384. Its totient is φ = 2850631680.

The previous prime is 10848373439. The next prime is 10848373469. The reversal of 10848373440 is 4437384801.

It is a junction number, because it is equal to n+sod(n) for n = 10848373392 and 10848373401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25170025 + ... + 25170455.

It is an arithmetic number, because the mean of its divisors is an integer number (156033216).

Almost surely, 210848373440 is an apocalyptic number.

10848373440 is a gapful number since it is divisible by the number (10) 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 10848373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475720192).

10848373440 is an abundant number, since it is smaller than the sum of its proper divisors (24103066944).

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

10848373440 is a wasteful number, since it uses less digits than its factorization.

10848373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 10848373440 in words is "ten billion, eight hundred forty-eight million, three hundred seventy-three thousand, four hundred forty".