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5842622016 = 263572111741
BaseRepresentation
bin1010111000011111…
…10101011001000000
3120002011220221200000
411130033311121000
543431202401031
62403431400000
7264533316300
oct53417653100
916064827600
105842622016
11252900a440
121170823000
137215b58ba
143d5d63600
15242dec3e6
hex15c3f5640

5842622016 has 1008 divisors, whose sum is σ = 23904683712. Its totient is φ = 1393459200.

The previous prime is 5842621991. The next prime is 5842622053. The reversal of 5842622016 is 6102262485.

It is a happy number.

5842622016 is a `hidden beast` number, since 5 + 8 + 426 + 220 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142502956 + ... + 142502996.

It is an arithmetic number, because the mean of its divisors is an integer number (23714964).

Almost surely, 25842622016 is an apocalyptic number.

5842622016 is a gapful number since it is divisible by the number (56) 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 5842622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952341856).

5842622016 is an abundant number, since it is smaller than the sum of its proper divisors (18062061696).

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

5842622016 is a wasteful number, since it uses less digits than its factorization.

5842622016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

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

The square root of 5842622016 is about 76437.0460967717. The cubic root of 5842622016 is about 1801.0921372195.

The spelling of 5842622016 in words is "five billion, eight hundred forty-two million, six hundred twenty-two thousand, sixteen".