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10425683237760 = 2732571132288261
BaseRepresentation
bin1001011110110110101100…
…1001010101101110000000
31100220200111210100021122100
42113231223021111232000
52331303244402102020
634101254234110400
72124142102225440
oct227555311255600
940820453307570
1010425683237760
11335a56443304a
12120469827b400
135a81a372096b
1428086a2cc120
151312e14bea90
hex97b6b255b80

10425683237760 has 384 divisors, whose sum is σ = 41508340436160. Its totient is φ = 2361923665920.

The previous prime is 10425683237609. The next prime is 10425683237773. The reversal of 10425683237760 is 6773238652401.

It is a happy number.

10425683237760 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 568 + 3 + 2 + 3 + 7 + 76 + 0 = 666.

10425683237760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 10425683237697 and 10425683237706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3412030 + ... + 5700290.

Almost surely, 210425683237760 is an apocalyptic number.

10425683237760 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 10425683237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754170218080).

10425683237760 is an abundant number, since it is smaller than the sum of its proper divisors (31082657198400).

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

10425683237760 is a wasteful number, since it uses less digits than its factorization.

10425683237760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288406 (or 2288391 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10425683237760 in words is "ten trillion, four hundred twenty-five billion, six hundred eighty-three million, two hundred thirty-seven thousand, seven hundred sixty".