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10613412406350 = 232521329137456647
BaseRepresentation
bin1001101001110010000010…
…1011010010010001001110
31101120122001221220010221100
42122130200223102101032
52342342232034000400
634323422341443530
72143536152642655
oct232344053222116
941518057803840
1010613412406350
113422139680a66
121234b4a4105a6
135bcac0750c40
1428999881219c
1513612c527100
hex9a720ad244e

10613412406350 has 288 divisors, whose sum is σ = 31998987558720. Its totient is φ = 2504027473920.

The previous prime is 10613412406313. The next prime is 10613412406351. The reversal of 10613412406350 is 5360421431601.

10613412406350 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 3 + 4 + 12 + 4 + 0 + 635 + 0 = 666.

It is a super-2 number, since 2×106134124063502 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613412406351) 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 143 ways as a sum of consecutive naturals, for example, 23013727 + ... + 23470373.

It is an arithmetic number, because the mean of its divisors is an integer number (111107595690).

Almost surely, 210613412406350 is an apocalyptic number.

10613412406350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10613412406350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999493779360).

10613412406350 is an abundant number, since it is smaller than the sum of its proper divisors (21385575152370).

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

10613412406350 is a wasteful number, since it uses less digits than its factorization.

10613412406350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456844 (or 456836 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10613412406350 its reverse (5360421431601), we get a palindrome (15973833837951).

The spelling of 10613412406350 in words is "ten trillion, six hundred thirteen billion, four hundred twelve million, four hundred six thousand, three hundred fifty".