Search a number
-
+
8664420960 = 253451351427
BaseRepresentation
bin10000001000111000…
…01001001001100000
3211100211122012010000
420010130021021200
5120221042432320
63551432340000
7424466235336
oct100434111140
924324565100
108664420960
113746926788
121819844600
13a810a6010
145c2a1db56
1535a9e0c90
hex204709260

8664420960 has 240 divisors, whose sum is σ = 32930994096. Its totient is φ = 2132739072.

The previous prime is 8664420953. The next prime is 8664421061. The reversal of 8664420960 is 690244668.

8664420960 is a `hidden beast` number, since 86 + 64 + 420 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 142767 + ... + 194193.

Almost surely, 28664420960 is an apocalyptic number.

8664420960 is a gapful number since it is divisible by the number (80) 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 8664420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465497048).

8664420960 is an abundant number, since it is smaller than the sum of its proper divisors (24266573136).

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

8664420960 is a wasteful number, since it uses less digits than its factorization.

8664420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51467 (or 51450 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8664420960 is about 93082.8714640884. The cubic root of 8664420960 is about 2053.9026161825.

The spelling of 8664420960 in words is "eight billion, six hundred sixty-four million, four hundred twenty thousand, nine hundred sixty".