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5826122640 = 2434513233197
BaseRepresentation
bin1010110110100001…
…11001001110010000
3120001000212200210000
411123100321032100
543412441411030
62402042010000
7264243140202
oct53320711620
916030780700
105826122640
11251a770198
1211671a6900
1371b059960
143d3aaa772
1524173d860
hex15b439390

5826122640 has 800 divisors, whose sum is σ = 23714482176. Its totient is φ = 1313832960.

The previous prime is 5826122611. The next prime is 5826122641. The reversal of 5826122640 is 462216285.

It is a happy number.

5826122640 is a `hidden beast` number, since 5 + 8 + 2 + 6 + 1 + 2 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5826122595 and 5826122604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5826122641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60063072 + ... + 60063168.

Almost surely, 25826122640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5826122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857241088).

5826122640 is an abundant number, since it is smaller than the sum of its proper divisors (17888359536).

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

5826122640 is a wasteful number, since it uses less digits than its factorization.

5826122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5826122640 is about 76329.0419172152. The cubic root of 5826122640 is about 1799.3951300963.

The spelling of 5826122640 in words is "five billion, eight hundred twenty-six million, one hundred twenty-two thousand, six hundred forty".