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10694814240 = 25351117196271
BaseRepresentation
bin10011111010111010…
…11110101000100000
31000121100011212002010
421331131132220200
5133400333023430
64525122552520
7526012264305
oct117535365040
930540155063
1010694814240
114598a42260
1220a5808740
131015932366
1473654b0ac
15428da8cb0
hex27d75ea20

10694814240 has 384 divisors, whose sum is σ = 40967700480. Its totient is φ = 2311372800.

The previous prime is 10694814157. The next prime is 10694814241. The reversal of 10694814240 is 4241849601.

It is a super-2 number, since 2×106948142402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10694814241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1702305 + ... + 1708575.

It is an arithmetic number, because the mean of its divisors is an integer number (106686720).

Almost surely, 210694814240 is an apocalyptic number.

10694814240 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 10694814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20483850240).

10694814240 is an abundant number, since it is smaller than the sum of its proper divisors (30272886240).

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

10694814240 is a wasteful number, since it uses less digits than its factorization.

10694814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10694814240 in words is "ten billion, six hundred ninety-four million, eight hundred fourteen thousand, two hundred forty".