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4263536640 = 211351123137
BaseRepresentation
bin1111111000100000…
…0110100000000000
3102000010121002202110
43332020012200000
532212431133030
61543022215320
7210440314656
oct37610064000
912003532673
104263536640
111898723200
129aba24540
1352c3c365c
142c6354dd6
1519e4801b0
hexfe206800

4263536640 has 576 divisors, whose sum is σ = 15894627840. Its totient is φ = 973209600.

The previous prime is 4263536621. The next prime is 4263536663. The reversal of 4263536640 is 466353624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115230702 + ... + 115230738.

It is an arithmetic number, because the mean of its divisors is an integer number (27594840).

Almost surely, 24263536640 is an apocalyptic number.

4263536640 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 4263536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947313920).

4263536640 is an abundant number, since it is smaller than the sum of its proper divisors (11631091200).

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

4263536640 is a wasteful number, since it uses less digits than its factorization.

4263536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The square root of 4263536640 is about 65295.7628028037. The cubic root of 4263536640 is about 1621.5238214940.

The spelling of 4263536640 in words is "four billion, two hundred sixty-three million, five hundred thirty-six thousand, six hundred forty".