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10922029440 = 273572176829
BaseRepresentation
bin10100010110000000…
…01111000110000000
31001012011201120201220
422023000033012000
5134332014420230
65003440555040
7534441501300
oct121300170600
931164646656
1010922029440
1146a5223413
122149922a80
131050a27c1a
147587b5600
1543dcdbd10
hex28b00f180

10922029440 has 384 divisors, whose sum is σ = 42886389600. Its totient is φ = 2349268992.

The previous prime is 10922029403. The next prime is 10922029441. The reversal of 10922029440 is 4492022901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10922029441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1595946 + ... + 1602774.

Almost surely, 210922029440 is an apocalyptic number.

10922029440 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 10922029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21443194800).

10922029440 is an abundant number, since it is smaller than the sum of its proper divisors (31964360160).

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

10922029440 is a wasteful number, since it uses less digits than its factorization.

10922029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 10922029440 in words is "ten billion, nine hundred twenty-two million, twenty-nine thousand, four hundred forty".