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4680882432 = 2834376101
BaseRepresentation
bin1000101110000000…
…01001100100000000
3110002012220110120000
410113000021210000
534041301214212
62052251320000
7223665562362
oct42700114400
913065813500
104680882432
111a92266286
12aa7750000
135979c9225
14325952d32
151c5e1d1dc
hex117009900

4680882432 has 180 divisors, whose sum is σ = 14337124956. Its totient is φ = 1517875200.

The previous prime is 4680882379. The next prime is 4680882443. The reversal of 4680882432 is 2342880864.

It can be written as a sum of positive squares in 2 ways, for example, as 3640432896 + 1040449536 = 60336^2 + 32256^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 764182 + ... + 770282.

Almost surely, 24680882432 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 4680882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168562478).

4680882432 is an abundant number, since it is smaller than the sum of its proper divisors (9656242524).

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

4680882432 is an equidigital number, since it uses as much as digits as its factorization.

4680882432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4680882432 is about 68416.9747358066. The cubic root of 4680882432 is about 1672.7944455353.

The spelling of 4680882432 in words is "four billion, six hundred eighty million, eight hundred eighty-two thousand, four hundred thirty-two".