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2045372807296 = 2771317194347269
BaseRepresentation
bin11101110000111001101…
…110000011100010000000
321020112110112210021111101
4131300321232003202000
5232002410414313141
64203344205424144
7300526150001050
oct35607156034200
97215415707441
102045372807296
1171948a699535
122904a726b054
1311ab54785840
1470dd4845560
153831150c531
hex1dc39b83880

2045372807296 has 1024 divisors, whose sum is σ = 5862979584000. Its totient is φ = 687142600704.

The previous prime is 2045372807263. The next prime is 2045372807327. The reversal of 2045372807296 is 6927082735402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7603616250 + ... + 7603616518.

It is an arithmetic number, because the mean of its divisors is an integer number (5725566000).

Almost surely, 22045372807296 is an apocalyptic number.

2045372807296 is a gapful number since it is divisible by the number (26) 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 2045372807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931489792000).

2045372807296 is an abundant number, since it is smaller than the sum of its proper divisors (3817606776704).

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

2045372807296 is a wasteful number, since it uses less digits than its factorization.

2045372807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 2045372807296 in words is "two trillion, forty-five billion, three hundred seventy-two million, eight hundred seven thousand, two hundred ninety-six".