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4641239680 = 275711531777
BaseRepresentation
bin1000101001010001…
…11011001010000000
3102222110022101220221
410110220323022000
534001124132210
62044313512424
7223004613010
oct42450731200
912873271827
104641239680
111a7194a080
12a96412714
1358c72918c
14320593c40
151c26dc1da
hex114a3b280

4641239680 has 256 divisors, whose sum is σ = 14102242560. Its totient is φ = 1418526720.

The previous prime is 4641239609. The next prime is 4641239689. The reversal of 4641239680 is 869321464.

It is a happy number.

It is a super-2 number, since 2×46412396802 = 43082211534413004800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4641239689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2610952 + ... + 2612728.

It is an arithmetic number, because the mean of its divisors is an integer number (55086885).

Almost surely, 24641239680 is an apocalyptic number.

4641239680 is a gapful number since it is divisible by the number (40) 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 4641239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051121280).

4641239680 is an abundant number, since it is smaller than the sum of its proper divisors (9461002880).

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

4641239680 is a wasteful number, since it uses less digits than its factorization.

4641239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 4641239680 is about 68126.6444205202. The cubic root of 4641239680 is about 1668.0587097171.

The spelling of 4641239680 in words is "four billion, six hundred forty-one million, two hundred thirty-nine thousand, six hundred eighty".