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5018255424 = 263372134797
BaseRepresentation
bin1001010110001110…
…01000000001000000
3110221201201210022000
410223013020001000
540234133133144
62145542344000
7235233316200
oct45307100100
913851653260
105018255424
112145746636
12b8072b000
1361c880c10
14358694400
151e5860769
hex12b1c8040

5018255424 has 672 divisors, whose sum is σ = 19069263360. Its totient is φ = 1281982464.

The previous prime is 5018255401. The next prime is 5018255491. The reversal of 5018255424 is 4245528105.

5018255424 is a `hidden beast` number, since 5 + 0 + 1 + 82 + 554 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 51734544 + ... + 51734640.

It is an arithmetic number, because the mean of its divisors is an integer number (28376880).

Almost surely, 25018255424 is an apocalyptic number.

5018255424 is a gapful number since it is divisible by the number (54) 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 5018255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534631680).

5018255424 is an abundant number, since it is smaller than the sum of its proper divisors (14051007936).

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

5018255424 is a wasteful number, since it uses less digits than its factorization.

5018255424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 5018255424 is about 70839.6458489171. The cubic root of 5018255424 is about 1712.0545081198.

The spelling of 5018255424 in words is "five billion, eighteen million, two hundred fifty-five thousand, four hundred twenty-four".