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2000269292640 = 25354727432539
BaseRepresentation
bin11101000110111001010…
…101110011010001100000
321002020001012120100000120
4131012321111303101200
5230233022414331030
64130524440520240
7264341352311553
oct35067125632140
97066035510016
102000269292640
11701344961393
122837ba180080
131168172a0228
146cb5654c69a
1537071973010
hex1d1b9573460

2000269292640 has 288 divisors, whose sum is σ = 6448964739840. Its totient is φ = 521148128256.

The previous prime is 2000269292611. The next prime is 2000269292657. The reversal of 2000269292640 is 462929620002.

It is a junction number, because it is equal to n+sod(n) for n = 2000269292592 and 2000269292601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787816491 + ... + 787819029.

It is an arithmetic number, because the mean of its divisors is an integer number (22392238680).

Almost surely, 22000269292640 is an apocalyptic number.

2000269292640 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 2000269292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224482369920).

2000269292640 is an abundant number, since it is smaller than the sum of its proper divisors (4448695447200).

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

2000269292640 is a wasteful number, since it uses less digits than its factorization.

2000269292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 2000269292640 in words is "two trillion, two hundred sixty-nine million, two hundred ninety-two thousand, six hundred forty".