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4679347968 = 28351937107
BaseRepresentation
bin1000101101110100…
…10010111100000000
3110002010000111200000
410112322102330000
534040403113333
62052154400000
7223646541621
oct42672227400
913063014600
104679347968
111a91408429
12aa7130000
135975ac969
14325673a48
151c5c18713
hex116e92f00

4679347968 has 432 divisors, whose sum is σ = 15267208320. Its totient is φ = 1424314368.

The previous prime is 4679347957. The next prime is 4679347969. The reversal of 4679347968 is 8697439764.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (54867456) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4679347969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43732171 + ... + 43732277.

It is an arithmetic number, because the mean of its divisors is an integer number (35340760).

Almost surely, 24679347968 is an apocalyptic number.

4679347968 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 4679347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633604160).

4679347968 is an abundant number, since it is smaller than the sum of its proper divisors (10587860352).

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

4679347968 is a wasteful number, since it uses less digits than its factorization.

4679347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 4679347968 is about 68405.7597574941. The cubic root of 4679347968 is about 1672.6116364583.

The spelling of 4679347968 in words is "four billion, six hundred seventy-nine million, three hundred forty-seven thousand, nine hundred sixty-eight".