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20124053599104 = 2732713491390967
BaseRepresentation
bin1001001001101011111110…
…00100001111001110000000
32122020211200220012021202100
410210311333010033032000
510114203030210132404
6110444510153150400
74144625544145320
oct444657704171600
978224626167670
1020124053599104
116459621695164
1223102149bb400
13b2c8c8238150
144d801baab280
1524d715b4cd39
hex124d7f10f380

20124053599104 has 384 divisors, whose sum is σ = 71418030727680. Its totient is φ = 5296619704320.

The previous prime is 20124053599099. The next prime is 20124053599109. The reversal of 20124053599104 is 40199535042102.

It is a happy number.

20124053599104 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 4 + 0 + 53 + 599 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20124053599099) and next prime (20124053599109).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×201240535991042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20124053599104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124053599109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51277029 + ... + 51667995.

It is an arithmetic number, because the mean of its divisors is an integer number (185984455020).

Almost surely, 220124053599104 is an apocalyptic number.

20124053599104 is a gapful number since it is divisible by the number (24) 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 20124053599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35709015363840).

20124053599104 is an abundant number, since it is smaller than the sum of its proper divisors (51293977128576).

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

20124053599104 is a wasteful number, since it uses less digits than its factorization.

20124053599104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391498 (or 391483 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 20124053599104 in words is "twenty trillion, one hundred twenty-four billion, fifty-three million, five hundred ninety-nine thousand, one hundred four".