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20836103040 = 27365173771
BaseRepresentation
bin10011011001111011…
…011011001110000000
31222210002210201000000
4103121323123032000
5320133020244130
613323314000000
71335223645044
oct233173331600
958702721000
1020836103040
118922489675
124055b76000
131c7098b66c
14101936c024
1581e375260
hex4d9edb380

20836103040 has 896 divisors, whose sum is σ = 82356937920. Its totient is φ = 5016453120.

The previous prime is 20836103011. The next prime is 20836103047. The reversal of 20836103040 is 4030163802.

It is a happy number.

20836103040 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 610 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20836102995 and 20836103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20836103047) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 293466205 + ... + 293466275.

Almost surely, 220836103040 is an apocalyptic number.

20836103040 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 20836103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41178468960).

20836103040 is an abundant number, since it is smaller than the sum of its proper divisors (61520834880).

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

20836103040 is an equidigital number, since it uses as much as digits as its factorization.

20836103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20836103040 its reverse (4030163802), we get a palindrome (24866266842).

The spelling of 20836103040 in words is "twenty billion, eight hundred thirty-six million, one hundred three thousand, forty".