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4680335088 = 24331113239317
BaseRepresentation
bin1000101101111100…
…00011111011110000
3110002011212122202000
410112332003323300
534041131210323
62052231454000
7223661122542
oct42676037360
913064778660
104680335088
111a91a22030
12aa7527300
13597867060
1432584d692
151c5d60e43
hex116f83ef0

4680335088 has 320 divisors, whose sum is σ = 15898982400. Its totient is φ = 1299594240.

The previous prime is 4680335087. The next prime is 4680335117. The reversal of 4680335088 is 8805330864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680335087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14764306 + ... + 14764622.

It is an arithmetic number, because the mean of its divisors is an integer number (49684320).

Almost surely, 24680335088 is an apocalyptic number.

4680335088 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 4680335088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949491200).

4680335088 is an abundant number, since it is smaller than the sum of its proper divisors (11218647312).

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

4680335088 is a wasteful number, since it uses less digits than its factorization.

4680335088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4680335088 is about 68412.9745589241. The cubic root of 4680335088 is about 1672.7292420396.

The spelling of 4680335088 in words is "four billion, six hundred eighty million, three hundred thirty-five thousand, eighty-eight".