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20124034191360 = 212355112231453
BaseRepresentation
bin1001001001101011111011…
…11010001101000000000000
32122020211122112200021100000
410210311331322031000000
510114203010223110420
6110444504221200000
74144625220164061
oct444657572150000
978224575607300
1020124034191360
116459611739900
12231020a400000
13b2c8c4201488
144d8019298568
1524d7140b7690
hex124d7de8d000

20124034191360 has 1872 divisors, whose sum is σ = 83026522680192. Its totient is φ = 4663231119360.

The previous prime is 20124034191341. The next prime is 20124034191419. The reversal of 20124034191360 is 6319143042102.

20124034191360 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 403 + 4 + 191 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 13849988394 + ... + 13849989846.

It is an arithmetic number, because the mean of its divisors is an integer number (44351774936).

Almost surely, 220124034191360 is an apocalyptic number.

20124034191360 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 20124034191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513261340096).

20124034191360 is an abundant number, since it is smaller than the sum of its proper divisors (62902488488832).

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

20124034191360 is a wasteful number, since it uses less digits than its factorization.

20124034191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20124034191360 in words is "twenty trillion, one hundred twenty-four billion, thirty-four million, one hundred ninety-one thousand, three hundred sixty".