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8422686720 = 219335717
BaseRepresentation
bin1111101100000100…
…00000000000000000
3210201222202211002000
413312002000000000
5114222201433340
63511435224000
7415502440650
oct76602000000
923658684060
108422686720
113632429218
1217708a8000
13a42c989c6
1459c896360
15344690d30
hex1f6080000

8422686720 has 640 divisors, whose sum is σ = 36238752000. Its totient is φ = 1811939328.

The previous prime is 8422686709. The next prime is 8422686749. The reversal of 8422686720 is 276862248.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495452152 + ... + 495452168.

It is an arithmetic number, because the mean of its divisors is an integer number (56623050).

Almost surely, 28422686720 is an apocalyptic number.

8422686720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8422686720 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8422686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119376000).

8422686720 is an abundant number, since it is smaller than the sum of its proper divisors (27816065280).

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

8422686720 is an frugal number, since it uses more digits than its factorization.

8422686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8422686720 is about 91775.1966492036. The cubic root of 8422686720 is about 2034.6211240796.

The spelling of 8422686720 in words is "eight billion, four hundred twenty-two million, six hundred eighty-six thousand, seven hundred twenty".