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2183981940000 = 253754721019
BaseRepresentation
bin11111110001111111011…
…101111011110100100000
321201210020110022210000000
4133301333131323310200
5241240243334040000
64351150224300000
7313534052122500
oct37617735736440
97653213283000
102183981940000
11772248961473
122b332b171600
1312ac44145c23
14779c345ba00
153bc25090000
hex1fc7f77bd20

2183981940000 has 1440 divisors, whose sum is σ = 9382972737600. Its totient is φ = 498705984000.

The previous prime is 2183981939987. The next prime is 2183981940047. The reversal of 2183981940000 is 491893812.

2183981940000 is a `hidden beast` number, since 218 + 398 + 1 + 9 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×21839819400002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2143259491 + ... + 2143260509.

It is an arithmetic number, because the mean of its divisors is an integer number (6515953290).

Almost surely, 22183981940000 is an apocalyptic number.

2183981940000 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 2183981940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691486368800).

2183981940000 is an abundant number, since it is smaller than the sum of its proper divisors (7198990797600).

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

2183981940000 is an frugal number, since it uses more digits than its factorization.

2183981940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 2183981940000 in words is "two trillion, one hundred eighty-three billion, nine hundred eighty-one million, nine hundred forty thousand".