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4064133300 = 2235217378307
BaseRepresentation
bin1111001000111101…
…1100000010110100
3101111020101100210120
43302033130002310
531310404231200
61511140251540
7202466364063
oct36217340264
911436340716
104064133300
1117a6108557
129550a0bb0
134c9cb7b06
142a7a8a1da
1518bbe29a0
hexf23dc0b4

4064133300 has 72 divisors (see below), whose sum is σ = 11827013856. Its totient is φ = 1077490560.

The previous prime is 4064133289. The next prime is 4064133313. The reversal of 4064133300 is 33314604.

4064133300 is digitally balanced in base 2, because in such base 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 23 ways as a sum of consecutive naturals, for example, 12747 + ... + 91053.

Almost surely, 24064133300 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 4064133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913506928).

4064133300 is an abundant number, since it is smaller than the sum of its proper divisors (7762880556).

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

4064133300 is a wasteful number, since it uses less digits than its factorization.

4064133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78497 (or 78490 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 4064133300 is about 63750.5552916992. Note that the first 3 decimals coincide. The cubic root of 4064133300 is about 1595.8398828697.

Adding to 4064133300 its reverse (33314604), we get a palindrome (4097447904).

The spelling of 4064133300 in words is "four billion, sixty-four million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 78307 156614 234921 313228 391535 469842 783070 939684 1174605 1566140 1957675 2349210 3915350 4698420 5873025 7830700 11746050 13547111 23492100 27094222 40641333 54188444 67735555 81282666 135471110 162565332 203206665 270942220 338677775 406413330 677355550 812826660 1016033325 1354711100 2032066650 4064133300