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4504313268 = 223271317312609
BaseRepresentation
bin1000011000111101…
…00101110110110100
3102121220122211012100
410030132211312310
533211101011033
62022543022100
7216423013440
oct41436456664
912556584170
104504313268
111a01627254
12a5859a930
1356a256b30
1430a30d820
151b5691513
hex10c7a5db4

4504313268 has 288 divisors, whose sum is σ = 15322245120. Its totient is φ = 1081589760.

The previous prime is 4504313249. The next prime is 4504313273. The reversal of 4504313268 is 8623134054.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1725148 + ... + 1727756.

It is an arithmetic number, because the mean of its divisors is an integer number (53202240).

Almost surely, 24504313268 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 4504313268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7661122560).

4504313268 is an abundant number, since it is smaller than the sum of its proper divisors (10817931852).

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

4504313268 is a wasteful number, since it uses less digits than its factorization.

4504313268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4504313268 is about 67114.1808264096. The cubic root of 4504313268 is about 1651.4909410841.

It can be divided in two parts, 45043 and 13268, that added together give a triangular number (58311 = T341).

The spelling of 4504313268 in words is "four billion, five hundred four million, three hundred thirteen thousand, two hundred sixty-eight".