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9482840640 = 2633572131723
BaseRepresentation
bin10001101010011100…
…01010101001000000
3220110212122012212000
420311032022221000
5123410101400030
64204550104000
7453664546500
oct106516125100
926425565760
109482840640
1140268a8589
121a0794b000
13b81807c10
1465d5c1a00
153a77a5860
hex23538aa40

9482840640 has 672 divisors, whose sum is σ = 41932920960. Its totient is φ = 1999613952.

The previous prime is 9482840621. The next prime is 9482840657. The reversal of 9482840640 is 460482849.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5502819 + ... + 5504541.

It is an arithmetic number, because the mean of its divisors is an integer number (62400180).

Almost surely, 29482840640 is an apocalyptic number.

9482840640 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 9482840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966460480).

9482840640 is an abundant number, since it is smaller than the sum of its proper divisors (32450080320).

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

9482840640 is a wasteful number, since it uses less digits than its factorization.

9482840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 9482840640 is about 97379.8780036204. The cubic root of 9482840640 is about 2116.6358653284.

The spelling of 9482840640 in words is "nine billion, four hundred eighty-two million, eight hundred forty thousand, six hundred forty".