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5005793898 = 233722957829
BaseRepresentation
bin1001010100101111…
…00101101001101010
3110220212021200022000
410222113211221222
540222440401043
62144415311430
7235022355210
oct45227455152
913825250260
105005793898
112139705056
12b7851b576
1361a109b31
14356b6ccb0
151e46ed2d3
hex12a5e5a6a

5005793898 has 64 divisors (see below), whose sum is σ = 12768864000. Its totient is φ = 1423956672.

The previous prime is 5005793879. The next prime is 5005793909. The reversal of 5005793898 is 8983975005.

5005793898 is a `hidden beast` number, since 500 + 57 + 9 + 3 + 89 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57648 + ... + 115476.

It is an arithmetic number, because the mean of its divisors is an integer number (199513500).

Almost surely, 25005793898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005793898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384432000).

5005793898 is an abundant number, since it is smaller than the sum of its proper divisors (7763070102).

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

5005793898 is a wasteful number, since it uses less digits than its factorization.

5005793898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58076 (or 58070 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5005793898 is about 70751.6353026557. The cubic root of 5005793898 is about 1710.6361867992.

The spelling of 5005793898 in words is "five billion, five million, seven hundred ninety-three thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 229 378 458 687 1374 1603 2061 3206 4122 4809 6183 9618 12366 14427 28854 43281 57829 86562 115658 173487 346974 404803 520461 809606 1040922 1214409 1561383 2428818 3122766 3643227 7286454 10929681 13242841 21859362 26485682 39728523 79457046 92699887 119185569 185399774 238371138 278099661 357556707 556199322 715113414 834298983 1668597966 2502896949 5005793898