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4013837642 = 213131914801
BaseRepresentation
bin1110111100111110…
…0100110101001010
3101100201202002010102
43233033210311022
531210020301032
61502142245402
7201316025363
oct35717446512
911321662112
104013837642
11177a7856a1
12940286862
134bc757c79
142a1116b6a
151875aa362
hexef3e4d4a

4013837642 has 16 divisors (see below), whose sum is σ = 6069881664. Its totient is φ = 1990560000.

The previous prime is 4013837627. The next prime is 4013837657. The reversal of 4013837642 is 2467383104.

It is an interprime number because it is at equal distance from previous prime (4013837627) and next prime (4013837657).

It is a super-2 number, since 2×40138376422 = 32221785232672240328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013837596 and 4013837605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 833642 + ... + 838442.

It is an arithmetic number, because the mean of its divisors is an integer number (379367604).

Almost surely, 24013837642 is an apocalyptic number.

4013837642 is a deficient number, since it is larger than the sum of its proper divisors (2056044022).

4013837642 is a wasteful number, since it uses less digits than its factorization.

4013837642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125.

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 4013837642 is about 63354.8549205189. The cubic root of 4013837642 is about 1589.2294358318.

The spelling of 4013837642 in words is "four billion, thirteen million, eight hundred thirty-seven thousand, six hundred forty-two".

Divisors: 1 2 131 262 3191 4801 6382 9602 418021 628931 836042 1257862 15319991 30639982 2006918821 4013837642