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2487500064 = 253371921647
BaseRepresentation
bin1001010001000100…
…0011110100100000
320102100200002121000
42110101003310200
520043300000224
61050455432000
7115433254530
oct22421036440
96370602530
102487500064
111067146685
12595085600
13308473a3a
141985194c0
15e85ac0c9
hex94443d20

2487500064 has 192 divisors, whose sum is σ = 8728473600. Its totient is φ = 673277184.

The previous prime is 2487500033. The next prime is 2487500069. The reversal of 2487500064 is 4600057842.

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

It is not an unprimeable number, because it can be changed into a prime (2487500069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104089 + ... + 125735.

It is an arithmetic number, because the mean of its divisors is an integer number (45460800).

Almost surely, 22487500064 is an apocalyptic number.

2487500064 is a gapful number since it is divisible by the number (24) 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 2487500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364236800).

2487500064 is an abundant number, since it is smaller than the sum of its proper divisors (6240973536).

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

2487500064 is a wasteful number, since it uses less digits than its factorization.

2487500064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21692 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2487500064 is about 49874.8439997560. The cubic root of 2487500064 is about 1354.9430247054.

The spelling of 2487500064 in words is "two billion, four hundred eighty-seven million, five hundred thousand, sixty-four".