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1427008036608 = 2835721125373
BaseRepresentation
bin10100110001000000010…
…011101001111100000000
312001102100122101012200000
4110301000103221330000
5141340003024132413
63011320342400000
7205045406114400
oct24610023517400
95042318335600
101427008036608
1150021091aa00
121b0692130000
13a474916c71b
144d0d3540800
15271be281073
hex14c404e9f00

1427008036608 has 1944 divisors, whose sum is σ = 5634744910704. Its totient is φ = 358676398080.

The previous prime is 1427008036561. The next prime is 1427008036669. The reversal of 1427008036608 is 8066308007241.

1427008036608 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 0 + 0 + 8 + 0 + 36 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19548055260 + ... + 19548055332.

Almost surely, 21427008036608 is an apocalyptic number.

1427008036608 is a gapful number since it is divisible by the number (18) 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 1427008036608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817372455352).

1427008036608 is an abundant number, since it is smaller than the sum of its proper divisors (4207736874096).

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

1427008036608 is an equidigital number, since it uses as much as digits as its factorization.

1427008036608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1427008036608 in words is "one trillion, four hundred twenty-seven billion, eight million, thirty-six thousand, six hundred eight".