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8490343680 = 283257213289
BaseRepresentation
bin1111110100001000…
…00101110100000000
3210220201002010222100
413322010011310000
5114342011444210
63522253310400
7420253505400
oct77204056400
923821063870
108490343680
113667639965
12178b495400
13a53cc6c00
145a7868800
1534a5a75c0
hex1fa105d00

8490343680 has 972 divisors, whose sum is σ = 37418291820. Its totient is φ = 1771241472.

The previous prime is 8490343669. The next prime is 8490343691. The reversal of 8490343680 is 863430948.

It is an interprime number because it is at equal distance from previous prime (8490343669) and next prime (8490343691).

It can be written as a sum of positive squares in 6 ways, for example, as 2926377216 + 5563966464 = 54096^2 + 74592^2 .

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 107 ways as a sum of consecutive naturals, for example, 95397076 + ... + 95397164.

It is an arithmetic number, because the mean of its divisors is an integer number (38496185).

Almost surely, 28490343680 is an apocalyptic number.

8490343680 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 8490343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18709145910).

8490343680 is an abundant number, since it is smaller than the sum of its proper divisors (28927948140).

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

8490343680 is a wasteful number, since it uses less digits than its factorization.

8490343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

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

The square root of 8490343680 is about 92143.0609432962. The cubic root of 8490343680 is about 2040.0544391470.

The spelling of 8490343680 in words is "eight billion, four hundred ninety million, three hundred forty-three thousand, six hundred eighty".