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5054258664 = 233274132173
BaseRepresentation
bin1001011010100000…
…11101110111101000
3111001020110221110100
410231100131313220
540322342234124
62153310145400
7236151330000
oct45520356750
914036427410
105054258664
112163aa7384
12b907b2260
13627178500
1435d387000
151e8ac31c9
hex12d41dde8

5054258664 has 360 divisors, whose sum is σ = 17391941190. Its totient is φ = 1325286144.

The previous prime is 5054258621. The next prime is 5054258683. The reversal of 5054258664 is 4668524505.

5054258664 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 2 + 586 + 64 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3703696164 + 1350562500 = 60858^2 + 36750^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 29215282 + ... + 29215454.

Almost surely, 25054258664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5054258664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695970595).

5054258664 is an abundant number, since it is smaller than the sum of its proper divisors (12337682526).

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

5054258664 is a wasteful number, since it uses less digits than its factorization.

5054258664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 5054258664 is about 71093.3095586357. The cubic root of 5054258664 is about 1716.1391071803.

It can be divided in two parts, 505425 and 8664, that added together give a square (514089 = 7172).

The spelling of 5054258664 in words is "five billion, fifty-four million, two hundred fifty-eight thousand, six hundred sixty-four".