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95024442240 = 27325713199911
BaseRepresentation
bin101100001111111100…
…1011110101110000000
3100002021102020211010200
41120133321132232000
53024102224122430
6111353103325200
76602536301130
oct1303771365600
9302242224120
1095024442240
11373329029a2
12164bb5b0800
138c64a5b220
144856322ac0
152712510460
hex161fe5eb80

95024442240 has 768 divisors, whose sum is σ = 406328832000. Its totient is φ = 19926466560.

The previous prime is 95024442223. The next prime is 95024442251. The reversal of 95024442240 is 4224442059.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95024442195 and 95024442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104307385 + ... + 104308295.

It is an arithmetic number, because the mean of its divisors is an integer number (529074000).

Almost surely, 295024442240 is an apocalyptic number.

95024442240 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 95024442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164416000).

95024442240 is an abundant number, since it is smaller than the sum of its proper divisors (311304389760).

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

95024442240 is a wasteful number, since it uses less digits than its factorization.

95024442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 95024442240 its reverse (4224442059), we get a palindrome (99248884299).

The spelling of 95024442240 in words is "ninety-five billion, twenty-four million, four hundred forty-two thousand, two hundred forty".