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8431426080 = 2534572111771
BaseRepresentation
bin1111101101000110…
…10101101000100000
3210202121012211020000
413312203111220200
5114231421113310
63512350420000
7415636640100
oct76643255040
923677184200
108431426080
113637358230
121773801600
13a44a3881c
1459dacd200
1534531a4c0
hex1f68d5a20

8431426080 has 1440 divisors, whose sum is σ = 40545090432. Its totient is φ = 1625702400.

The previous prime is 8431426067. The next prime is 8431426103. The reversal of 8431426080 is 806241348.

8431426080 is a `hidden beast` number, since 8 + 4 + 3 + 1 + 42 + 608 + 0 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118752445 + ... + 118752515.

Almost surely, 28431426080 is an apocalyptic number.

8431426080 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 8431426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272545216).

8431426080 is an abundant number, since it is smaller than the sum of its proper divisors (32113664352).

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

8431426080 is a wasteful number, since it uses less digits than its factorization.

8431426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8431426080 is about 91822.7971693304. The cubic root of 8431426080 is about 2035.3245868685.

The spelling of 8431426080 in words is "eight billion, four hundred thirty-one million, four hundred twenty-six thousand, eighty".