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20183941404000 = 253253113173101223
BaseRepresentation
bin1001001011011011100001…
…01010000101010101100000
32122110120021120122222202100
410211231300222011111200
510121143202444412000
6110532212532450400
74152145612116513
oct445556052052540
978416246588670
1020183941404000
116481a638013a0
12231b949179a00
13b35450671aaa
144dac9d6b6d7a
1525006d5dca00
hex125b70a85560

20183941404000 has 2304 divisors, whose sum is σ = 82950619594752. Its totient is φ = 4603392000000.

The previous prime is 20183941403999. The next prime is 20183941404001. The reversal of 20183941404000 is 40414938102.

It is a happy number.

20183941404000 is a `hidden beast` number, since 20 + 1 + 8 + 3 + 94 + 140 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20183941403999) and next prime (20183941404001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20183941404001) 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 383 ways as a sum of consecutive naturals, for example, 90510947889 + ... + 90510948111.

It is an arithmetic number, because the mean of its divisors is an integer number (36002873088).

Almost surely, 220183941404000 is an apocalyptic number.

20183941404000 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 20183941404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41475309797376).

20183941404000 is an abundant number, since it is smaller than the sum of its proper divisors (62766678190752).

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

20183941404000 is a wasteful number, since it uses less digits than its factorization.

20183941404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20183941404000 in words is "twenty trillion, one hundred eighty-three billion, nine hundred forty-one million, four hundred four thousand".