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4313263968 = 2532132233853
BaseRepresentation
bin1000000010001011…
…10010111101100000
3102010121011111211100
410001011302331200
532313143421333
61552000114400
7211613065416
oct40105627540
912117144740
104313263968
1119137a8072
12a04605a00
135397b4900
142ccbbb2b6
151a3a04213
hex101172f60

4313263968 has 216 divisors, whose sum is σ = 13863022992. Its totient is φ = 1269126144.

The previous prime is 4313263943. The next prime is 4313264003. The reversal of 4313263968 is 8693623134.

4313263968 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 2 + 639 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1117530 + ... + 1121382.

It is an arithmetic number, because the mean of its divisors is an integer number (64180662).

Almost surely, 24313263968 is an apocalyptic number.

4313263968 is a gapful number since it is divisible by the number (48) 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 4313263968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931511496).

4313263968 is an abundant number, since it is smaller than the sum of its proper divisors (9549759024).

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

4313263968 is a wasteful number, since it uses less digits than its factorization.

4313263968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3894 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 4313263968 is about 65675.4441781706. Note that the first 3 decimals coincide. The cubic root of 4313263968 is about 1627.8036294205.

The spelling of 4313263968 in words is "four billion, three hundred thirteen million, two hundred sixty-three thousand, nine hundred sixty-eight".