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4332046680 = 23325132959541
BaseRepresentation
bin1000000100011010…
…11100100101011000
3102011220111202212100
410002031130211120
532333000443210
61553510443400
7212231534463
oct40215344530
912156452770
104332046680
111923366875
12a0a963560
1354065cc40
142d14aa2da
151a54b45c0
hex10235c958

4332046680 has 384 divisors, whose sum is σ = 15980328000. Its totient is φ = 1010257920.

The previous prime is 4332046679. The next prime is 4332046681. The reversal of 4332046680 is 866402334.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4332046679) and next prime (4332046681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332046681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8007210 + ... + 8007750.

Almost surely, 24332046680 is an apocalyptic number.

4332046680 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 4332046680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990164000).

4332046680 is an abundant number, since it is smaller than the sum of its proper divisors (11648281320).

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

4332046680 is a wasteful number, since it uses less digits than its factorization.

4332046680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4332046680 is about 65818.2853012748. The cubic root of 4332046680 is about 1630.1630408883.

It can be divided in two parts, 43320 and 46680, that added together give a square (90000 = 3002).

The spelling of 4332046680 in words is "four billion, three hundred thirty-two million, forty-six thousand, six hundred eighty".