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20012171040 = 2534519671213
BaseRepresentation
bin10010101000110100…
…010111111100100000
31220122200102121210000
4102220310113330200
5311441103433130
613105442140000
71305630434661
oct225064277440
956580377700
1020012171040
11853a392334
123a66051600
131b6c079734
14d7bb73368
157c1d72260
hex4a8d17f20

20012171040 has 480 divisors, whose sum is σ = 75515267520. Its totient is φ = 4976142336.

The previous prime is 20012171033. The next prime is 20012171057. The reversal of 20012171040 is 4017121002.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16497474 + ... + 16498686.

It is an arithmetic number, because the mean of its divisors is an integer number (157323474).

Almost surely, 220012171040 is an apocalyptic number.

20012171040 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 20012171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37757633760).

20012171040 is an abundant number, since it is smaller than the sum of its proper divisors (55503096480).

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

20012171040 is a wasteful number, since it uses less digits than its factorization.

20012171040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 20012171040 its reverse (4017121002), we get a palindrome (24029292042).

The spelling of 20012171040 in words is "twenty billion, twelve million, one hundred seventy-one thousand, forty".