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4206795264 = 2934743337
BaseRepresentation
bin1111101010111110…
…1001101000000000
3101212011211100020000
43322233221220000
532103414422024
61533234120000
7206151112140
oct37257515000
911764740200
104206795264
111869698601
12994a20000
13520717989
142bc9c4920
151994c2cc9
hexfabe9a00

4206795264 has 400 divisors, whose sum is σ = 14727206208. Its totient is φ = 1170505728.

The previous prime is 4206795247. The next prime is 4206795293. The reversal of 4206795264 is 4625976024.

4206795264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12482904 + ... + 12483240.

Almost surely, 24206795264 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 4206795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363603104).

4206795264 is an abundant number, since it is smaller than the sum of its proper divisors (10520410944).

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

4206795264 is an equidigital number, since it uses as much as digits as its factorization.

4206795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4206795264 is about 64859.8123956584. The cubic root of 4206795264 is about 1614.2983100024.

The spelling of 4206795264 in words is "four billion, two hundred six million, seven hundred ninety-five thousand, two hundred sixty-four".