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5842880000 = 295419312
BaseRepresentation
bin1010111000100001…
…10100011000000000
3120002012102001112222
411130100310120000
543431234130000
62403441110212
7264535442366
oct53420643000
916065361488
105842880000
112529176251
121170928368
13721676159
143d5dcd636
15242e4da85
hex15c434600

5842880000 has 300 divisors, whose sum is σ = 15867405180. Its totient is φ = 2142720000.

The previous prime is 5842879979. The next prime is 5842880011. The reversal of 5842880000 is 882485.

It is a super-4 number, since 4×58428800004 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 188479985 + ... + 188480015.

Almost surely, 25842880000 is an apocalyptic number.

5842880000 is a gapful number since it is divisible by the number (50) 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 5842880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933702590).

5842880000 is an abundant number, since it is smaller than the sum of its proper divisors (10024525180).

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

5842880000 is an frugal number, since it uses more digits than its factorization.

5842880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 5842880000 is about 76438.7336368153. The cubic root of 5842880000 is about 1801.1186462146.

The spelling of 5842880000 in words is "five billion, eight hundred forty-two million, eight hundred eighty thousand".