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8494295040 = 211345721119
BaseRepresentation
bin1111110100100110…
…01010100000000000
3210220222111220020000
413322103022200000
5114344014420130
63522514120000
7420332213400
oct77223124000
923828456200
108494295040
113669898650
121790880000
13a54a7b5aa
145a81b6800
1534aad8260
hex1fa4ca800

8494295040 has 1440 divisors, whose sum is σ = 40670229600. Its totient is φ = 1672151040.

The previous prime is 8494295039. The next prime is 8494295081. The reversal of 8494295040 is 405924948.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 119 ways as a sum of consecutive naturals, for example, 447068151 + ... + 447068169.

It is an arithmetic number, because the mean of its divisors is an integer number (28243215).

Almost surely, 28494295040 is an apocalyptic number.

8494295040 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 8494295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20335114800).

8494295040 is an abundant number, since it is smaller than the sum of its proper divisors (32175934560).

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

8494295040 is a wasteful number, since it uses less digits than its factorization.

8494295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8494295040 is about 92164.4998901421. The cubic root of 8494295040 is about 2040.3708668293.

The spelling of 8494295040 in words is "eight billion, four hundred ninety-four million, two hundred ninety-five thousand, forty".