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10639249920 = 293251335521
BaseRepresentation
bin10011110100010011…
…00001001000000000
31000110110121220011100
421322021201020000
5133242121444140
64515420014400
7524436063225
oct117211411000
930413556140
1010639249920
11456a640a32
12208b091400
131007279370
1472d00594c
15424080530
hex27a261200

10639249920 has 240 divisors, whose sum is σ = 39682194552. Its totient is φ = 2618818560.

The previous prime is 10639249903. The next prime is 10639249921. The reversal of 10639249920 is 2994293601.

It is a happy number.

10639249920 is a `hidden beast` number, since 1 + 0 + 639 + 2 + 4 + 9 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8555510016 + 2083739904 = 92496^2 + 45648^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106392499202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10639249921) 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 23 ways as a sum of consecutive naturals, for example, 281760 + ... + 317280.

Almost surely, 210639249920 is an apocalyptic number.

10639249920 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 10639249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841097276).

10639249920 is an abundant number, since it is smaller than the sum of its proper divisors (29042944632).

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

10639249920 is a wasteful number, since it uses less digits than its factorization.

10639249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35563 (or 35544 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10639249920 in words is "ten billion, six hundred thirty-nine million, two hundred forty-nine thousand, nine hundred twenty".