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3264112500 = 223551141193
BaseRepresentation
bin1100001010001110…
…0110011101110100
322102111000002120120
43002203212131310
523141103100000
61255521131540
7143613332655
oct30243463564
98374002516
103264112500
111425563040
12771189bb0
1340032861c
1422d71752c
151418646a0
hexc28e6774

3264112500 has 288 divisors, whose sum is σ = 10693565568. Its totient is φ = 768000000.

The previous prime is 3264112457. The next prime is 3264112529. The reversal of 3264112500 is 52114623.

3264112500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16912404 + ... + 16912596.

It is an arithmetic number, because the mean of its divisors is an integer number (37130436).

Almost surely, 23264112500 is an apocalyptic number.

3264112500 is a gapful number since it is divisible by the number (30) 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 3264112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346782784).

3264112500 is an abundant number, since it is smaller than the sum of its proper divisors (7429453068).

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

3264112500 is a wasteful number, since it uses less digits than its factorization.

3264112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3264112500 is about 57132.4119917932. The cubic root of 3264112500 is about 1483.3889499269.

The spelling of 3264112500 in words is "three billion, two hundred sixty-four million, one hundred twelve thousand, five hundred".