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2083014596040 = 23357219103181019
BaseRepresentation
bin11110010011111101010…
…110000101010111001000
321101010121212110021022020
4132103331112011113020
5233112003214033130
64232531303524440
7303331020633300
oct36237526052710
97333555407266
102083014596040
11733446487554
12297851459720
131215730c1211
1472b65b50600
15392b5e74e10
hex1e4fd5855c8

2083014596040 has 384 divisors, whose sum is σ = 7726223232000. Its totient is φ = 446677120512.

The previous prime is 2083014596029. The next prime is 2083014596041. The reversal of 2083014596040 is 406954103802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2083014595983 and 2083014596001.

It is not an unprimeable number, because it can be changed into a prime (2083014596041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11416651 + ... + 11597669.

It is an arithmetic number, because the mean of its divisors is an integer number (20120373000).

Almost surely, 22083014596040 is an apocalyptic number.

2083014596040 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 2083014596040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863111616000).

2083014596040 is an abundant number, since it is smaller than the sum of its proper divisors (5643208635960).

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

2083014596040 is a wasteful number, since it uses less digits than its factorization.

2083014596040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181169 (or 181158 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

Adding to 2083014596040 its reverse (406954103802), we get a palindrome (2489968699842).

The spelling of 2083014596040 in words is "two trillion, eighty-three billion, fourteen million, five hundred ninety-six thousand, forty".