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10836010332 = 22337223127701
BaseRepresentation
bin10100001011110000…
…00110010101011100
31000222011212100201000
422011320012111130
5134143004312312
64551125150300
7532345365600
oct120570062534
930864770630
1010836010332
114660710a44
122124b5b390
131038c6ac44
1474b1c3500
15436499adc
hex285e0655c

10836010332 has 288 divisors, whose sum is σ = 34418442240. Its totient is φ = 2933884800.

The previous prime is 10836010319. The next prime is 10836010337. The reversal of 10836010332 is 23301063801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10836010296 and 10836010305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10836010337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15457582 + ... + 15458282.

It is an arithmetic number, because the mean of its divisors is an integer number (119508480).

Almost surely, 210836010332 is an apocalyptic number.

10836010332 is a gapful number since it is divisible by the number (12) 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 10836010332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209221120).

10836010332 is an abundant number, since it is smaller than the sum of its proper divisors (23582431908).

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

10836010332 is a wasteful number, since it uses less digits than its factorization.

10836010332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10836010332 in words is "ten billion, eight hundred thirty-six million, ten thousand, three hundred thirty-two".