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5842160640 = 21034514087
BaseRepresentation
bin1010111000011100…
…00100110000000000
3120002011001111210000
411130032010300000
543431043120030
62403413440000
7264526355211
oct53416046000
916064044700
105842160640
112528824838
121170640000
137214838b4
143d5c83408
15242d5a860
hex15c384c00

5842160640 has 220 divisors, whose sum is σ = 20936486736. Its totient is φ = 1557798912.

The previous prime is 5842160629. The next prime is 5842160647. The reversal of 5842160640 is 460612485.

5842160640 is a `hidden beast` number, since 5 + 8 + 4 + 2 + 1 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5842160595 and 5842160604.

It is not an unprimeable number, because it can be changed into a prime (5842160647) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 407677 + ... + 421763.

Almost surely, 25842160640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5842160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468243368).

5842160640 is an abundant number, since it is smaller than the sum of its proper divisors (15094326096).

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

5842160640 is a wasteful number, since it uses less digits than its factorization.

5842160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5842160640 is about 76434.0280241726. The cubic root of 5842160640 is about 1801.0447268526.

The spelling of 5842160640 in words is "five billion, eight hundred forty-two million, one hundred sixty thousand, six hundred forty".