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3613236604640 = 2551323515314657
BaseRepresentation
bin110100100101000101101…
…011110010111011100000
3110210102101200010111221122
4310211011223302323200
5433144402032322030
611403521544111412
7522022241251145
oct64450553627340
913712350114848
103613236604640
111173401959253
124a4329765568
1320295a891640
14c6c4b0d63cc
1563ec669d8e5
hex34945af2ee0

3613236604640 has 192 divisors, whose sum is σ = 9595115542656. Its totient is φ = 1275778301952.

The previous prime is 3613236604561. The next prime is 3613236604661. The reversal of 3613236604640 is 464066323163.

It is a happy number.

3613236604640 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 2×36132366046402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3613236604591 and 3613236604600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246512192 + ... + 246526848.

It is an arithmetic number, because the mean of its divisors is an integer number (49974560118).

Almost surely, 23613236604640 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 3613236604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797557771328).

3613236604640 is an abundant number, since it is smaller than the sum of its proper divisors (5981878938016).

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

3613236604640 is a wasteful number, since it uses less digits than its factorization.

3613236604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861 (or 19853 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 44.

The spelling of 3613236604640 in words is "three trillion, six hundred thirteen billion, two hundred thirty-six million, six hundred four thousand, six hundred forty".