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10541722464 = 2532713230941
BaseRepresentation
bin10011101000101010…
…11110101101100000
31000012200002222122100
421310111132231200
5133042140104324
64502013410400
7522143106510
oct116425365540
930180088570
1010541722464
11451a589129
122062499a00
13cbccc0100
14720099840
1541a7184c9
hex27455eb60

10541722464 has 216 divisors, whose sum is σ = 37099953072. Its totient is φ = 2780144640.

The previous prime is 10541722441. The next prime is 10541722469. The reversal of 10541722464 is 46422714501.

10541722464 is a `hidden beast` number, since 1 + 0 + 541 + 72 + 2 + 46 + 4 = 666.

10541722464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105417224642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541722469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 325234 + ... + 356174.

It is an arithmetic number, because the mean of its divisors is an integer number (171759042).

Almost surely, 210541722464 is an apocalyptic number.

10541722464 is a gapful number since it is divisible by the number (14) 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 10541722464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549976536).

10541722464 is an abundant number, since it is smaller than the sum of its proper divisors (26558230608).

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

10541722464 is a wasteful number, since it uses less digits than its factorization.

10541722464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30990 (or 30966 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10541722464 in words is "ten billion, five hundred forty-one million, seven hundred twenty-two thousand, four hundred sixty-four".