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1427345568 = 2532111721559
BaseRepresentation
bin101010100010011…
…1001000010100000
310200110210200000200
41111010321002200
510410400024233
6353344545200
750241144225
oct12504710240
93613720020
101427345568
11672776940
1233a022200
1319993449c
14d77cd94c
1585497313
hex551390a0

1427345568 has 216 divisors, whose sum is σ = 4706825760. Its totient is φ = 406824960.

The previous prime is 1427345537. The next prime is 1427345593. The reversal of 1427345568 is 8655437241.

1427345568 is a `hidden beast` number, since 1 + 42 + 7 + 3 + 45 + 568 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 914773 + ... + 916331.

It is an arithmetic number, because the mean of its divisors is an integer number (21790860).

Almost surely, 21427345568 is an apocalyptic number.

1427345568 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 1427345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353412880).

1427345568 is an abundant number, since it is smaller than the sum of its proper divisors (3279480192).

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

1427345568 is a wasteful number, since it uses less digits than its factorization.

1427345568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1592 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 1427345568 is about 37780.2272094809. The cubic root of 1427345568 is about 1125.9256429187.

The spelling of 1427345568 in words is "one billion, four hundred twenty-seven million, three hundred forty-five thousand, five hundred sixty-eight".