Search a number
-
+
9478334880 = 253457104479
BaseRepresentation
bin10001101001111001…
…11110100110100000
3220110120011022010000
420310330332212200
5123402423204010
64204305340000
7453611342250
oct106474764640
926416138100
109478334880
114024300313
121a06337600
13b808bb0a1
1465cb6b960
153a71b57c0
hex234f3e9a0

9478334880 has 240 divisors, whose sum is σ = 38229649920. Its totient is φ = 2166455808.

The previous prime is 9478334869. The next prime is 9478334893. The reversal of 9478334880 is 884338749.

9478334880 is a `hidden beast` number, since 94 + 78 + 3 + 3 + 488 + 0 = 666.

9478334880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×94783348802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38481 + ... + 142959.

It is an arithmetic number, because the mean of its divisors is an integer number (159290208).

Almost surely, 29478334880 is an apocalyptic number.

9478334880 is a gapful number since it is divisible by the number (90) 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 9478334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19114824960).

9478334880 is an abundant number, since it is smaller than the sum of its proper divisors (28751315040).

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

9478334880 is a wasteful number, since it uses less digits than its factorization.

9478334880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104513 (or 104496 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 9478334880 is about 97356.7402905418. The cubic root of 9478334880 is about 2116.3005732472.

The spelling of 9478334880 in words is "nine billion, four hundred seventy-eight million, three hundred thirty-four thousand, eight hundred eighty".