Search a number
-
+
4662708864 = 273112175903
BaseRepresentation
bin1000101011110101…
…10100101010000000
3110000221201011002220
410111322310222000
534022123140424
62050402011040
7223355241252
oct42572645200
913027634086
104662708864
111a82a83200
12aa1646a80
13594005238
14323381cd2
151c452d579
hex115eb4a80

4662708864 has 192 divisors, whose sum is σ = 14416859520. Its totient is φ = 1329602560.

The previous prime is 4662708829. The next prime is 4662708877. The reversal of 4662708864 is 4688072664.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 786937 + ... + 792839.

It is an arithmetic number, because the mean of its divisors is an integer number (75087810).

Almost surely, 24662708864 is an apocalyptic number.

4662708864 is a gapful number since it is divisible by the number (44) 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 4662708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208429760).

4662708864 is an abundant number, since it is smaller than the sum of its proper divisors (9754150656).

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

4662708864 is a wasteful number, since it uses less digits than its factorization.

4662708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The square root of 4662708864 is about 68284.0308124821. The cubic root of 4662708864 is about 1670.6267579449.

The spelling of 4662708864 in words is "four billion, six hundred sixty-two million, seven hundred eight thousand, eight hundred sixty-four".