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10568980240 = 24571317234779
BaseRepresentation
bin10011101011111010…
…11101011100010000
31000021120101211021121
421311331131130100
5133121124331430
64504425532024
7522623564320
oct116575353420
930246354247
1010568980240
114533a06315
12206b644014
13cc5844b80
14723953280
1541cceea7a
hex275f5d710

10568980240 has 640 divisors, whose sum is σ = 34557788160. Its totient is φ = 2909896704.

The previous prime is 10568980229. The next prime is 10568980249. The reversal of 10568980240 is 4208986501.

It is a happy number.

It is a super-2 number, since 2×105689802402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10568980249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133784521 + ... + 133784599.

It is an arithmetic number, because the mean of its divisors is an integer number (53996544).

Almost surely, 210568980240 is an apocalyptic number.

10568980240 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 10568980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278894080).

10568980240 is an abundant number, since it is smaller than the sum of its proper divisors (23988807920).

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

10568980240 is a wasteful number, since it uses less digits than its factorization.

10568980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 10568980240 in words is "ten billion, five hundred sixty-eight million, nine hundred eighty thousand, two hundred forty".