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95426250480 = 243251154722027
BaseRepresentation
bin101100011011111011…
…0010000011011110000
3100010022102022210102100
41120313312100123300
53030413110003410
6111501015420400
76615515513541
oct1306766203360
9303272283370
1095426250480
11375196a3420
12165b2084700
138cca083892
1448938384c8
15273792e8c0
hex1637d906f0

95426250480 has 240 divisors, whose sum is σ = 350262117504. Its totient is φ = 23090296320.

The previous prime is 95426250419. The next prime is 95426250497. The reversal of 95426250480 is 8405262459.

95426250480 is a `hidden beast` number, since 9 + 5 + 4 + 2 + 62 + 504 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4321227 + ... + 4343253.

Almost surely, 295426250480 is an apocalyptic number.

95426250480 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 95426250480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175131058752).

95426250480 is an abundant number, since it is smaller than the sum of its proper divisors (254835867024).

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

95426250480 is a wasteful number, since it uses less digits than its factorization.

95426250480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22604 (or 22595 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 95426250480 in words is "ninety-five billion, four hundred twenty-six million, two hundred fifty thousand, four hundred eighty".