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5014560096 = 2533713234759
BaseRepresentation
bin1001010101110010…
…00001110101100000
3110221110210001021000
410222321001311200
540232211410341
62145331232000
7235160025510
oct45271016540
913843701230
105014560096
112143652247
12b7b448600
1361bb88c30
14357db1840
151e53808b6
hex12ae41d60

5014560096 has 768 divisors, whose sum is σ = 19508428800. Its totient is φ = 1217120256.

The previous prime is 5014560059. The next prime is 5014560101. The reversal of 5014560096 is 6900654105.

5014560096 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 560 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5014560096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84992515 + ... + 84992573.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 25014560096 is an apocalyptic number.

5014560096 is a gapful number since it is divisible by the number (56) 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 5014560096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754214400).

5014560096 is an abundant number, since it is smaller than the sum of its proper divisors (14493868704).

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

5014560096 is a wasteful number, since it uses less digits than its factorization.

5014560096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5014560096 is about 70813.5587017063. The cubic root of 5014560096 is about 1711.6341657243.

The spelling of 5014560096 in words is "five billion, fourteen million, five hundred sixty thousand, ninety-six".