Search a number
-
+
9468062640 = 24325109223541
BaseRepresentation
bin10001101000101011…
…10010101110110000
3220102211211102020200
420310111302232300
5123342311001030
64203301235200
7453425130111
oct106425625660
926384742220
109468062640
114019524663
121a02a02b00
13b7b73263a
1465b656208
153a6336d60
hex234572bb0

9468062640 has 240 divisors, whose sum is σ = 32292099840. Its totient is φ = 2485831680.

The previous prime is 9468062579. The next prime is 9468062663. The reversal of 9468062640 is 462608649.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17500770 + ... + 17501310.

It is an arithmetic number, because the mean of its divisors is an integer number (134550416).

Almost surely, 29468062640 is an apocalyptic number.

9468062640 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 9468062640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16146049920).

9468062640 is an abundant number, since it is smaller than the sum of its proper divisors (22824037200).

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

9468062640 is a wasteful number, since it uses less digits than its factorization.

9468062640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 883 counting only the distinct ones).

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

The square root of 9468062640 is about 97303.9703198179. The cubic root of 9468062640 is about 2115.5357762744.

The spelling of 9468062640 in words is "nine billion, four hundred sixty-eight million, sixty-two thousand, six hundred forty".