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2103660599040 = 283357311131773
BaseRepresentation
bin11110100111001011111…
…100010101011100000000
321110002220201112220002000
4132213023330111130000
5233431244103132130
64250224111224000
7304661446026000
oct36471374253400
97402821486060
102103660599040
11741180625150
1229b853818000
131234b3580740
1473b63b56000
1539ac3799260
hex1e9cbf15700

2103660599040 has 4608 divisors, whose sum is σ = 10977555456000. Its totient is φ = 374561832960.

The previous prime is 2103660599021. The next prime is 2103660599041. The reversal of 2103660599040 is 409950663012.

2103660599040 is a `hidden beast` number, since 2 + 1 + 0 + 36 + 605 + 9 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103660599041) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28817268444 + ... + 28817268516.

It is an arithmetic number, because the mean of its divisors is an integer number (2382282000).

Almost surely, 22103660599040 is an apocalyptic number.

2103660599040 is a gapful number since it is divisible by the number (20) 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 2103660599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488777728000).

2103660599040 is an abundant number, since it is smaller than the sum of its proper divisors (8873894856960).

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

2103660599040 is a wasteful number, since it uses less digits than its factorization.

2103660599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2103660599040 in words is "two trillion, one hundred three billion, six hundred sixty million, five hundred ninety-nine thousand, forty".