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4468299820 = 2253726922447
BaseRepresentation
bin1000010100101010…
…01101100000101100
3102112101220011000221
410022111031200230
533122341043240
62015215101124
7215504631115
oct41225154054
912471804027
104468299820
111993269876
12a485117a4
135629579ba
1430561720c
151b242aa4a
hex10a54d82c

4468299820 has 48 divisors (see below), whose sum is σ = 9673292160. Its totient is φ = 1732472064.

The previous prime is 4468299791. The next prime is 4468299827. The reversal of 4468299820 is 289928644.

It is not an unprimeable number, because it can be changed into a prime (4468299827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187837 + ... + 210283.

It is an arithmetic number, because the mean of its divisors is an integer number (201526920).

Almost surely, 24468299820 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 4468299820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836646080).

4468299820 is an abundant number, since it is smaller than the sum of its proper divisors (5204992340).

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

4468299820 is a wasteful number, since it uses less digits than its factorization.

4468299820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22762 (or 22760 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The square root of 4468299820 is about 66845.3425453113. The cubic root of 4468299820 is about 1647.0777562765.

The spelling of 4468299820 in words is "four billion, four hundred sixty-eight million, two hundred ninety-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 269 370 538 740 1076 1345 2690 5380 9953 19906 22447 39812 44894 49765 89788 99530 112235 199060 224470 448940 830539 1661078 3322156 4152695 6038243 8305390 12076486 16610780 24152972 30191215 60382430 120764860 223414991 446829982 893659964 1117074955 2234149910 4468299820