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4329901268 = 2272112416173
BaseRepresentation
bin1000000100001010…
…10000110011010100
3102011202110202220122
410002011100303110
532331423320033
61553352451112
7212204360600
oct40205206324
912152422818
104329901268
111922130a00
12a0a0a9a98
1354008b574
142d10ac500
151a51dda98
hex102150cd4

4329901268 has 216 divisors, whose sum is σ = 10225798632. Its totient is φ = 1596672000.

The previous prime is 4329901243. The next prime is 4329901319. The reversal of 4329901268 is 8621099234.

It can be written as a sum of positive squares in 4 ways, for example, as 106461124 + 4223440144 = 10318^2 + 64988^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 59313680 + ... + 59313752.

Almost surely, 24329901268 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 4329901268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112899316).

4329901268 is an abundant number, since it is smaller than the sum of its proper divisors (5895897364).

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

4329901268 is a wasteful number, since it uses less digits than its factorization.

4329901268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 4329901268 is about 65801.9852891993. The cubic root of 4329901268 is about 1629.8938879824.

The spelling of 4329901268 in words is "four billion, three hundred twenty-nine million, nine hundred one thousand, two hundred sixty-eight".