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484908804864 = 28321127323827
BaseRepresentation
bin1110000111001101101…
…00010010101100000000
31201100122010110120100100
413003212310102230000
530421043123223424
61010433010322400
750014330556031
oct7034664225400
91640563416310
10484908804864
11177715419200
1279b8ab89400
133695a751b03
1419680c60a88
15c930d07dc9
hex70e6d12b00

484908804864 has 324 divisors, whose sum is σ = 1557884314168. Its totient is φ = 144923074560.

The previous prime is 484908804857. The next prime is 484908804871. The reversal of 484908804864 is 468408809484.

484908804864 is a `hidden beast` number, since 4 + 8 + 490 + 8 + 80 + 4 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (484908804857) and next prime (484908804871).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20339319 + ... + 20363145.

Almost surely, 2484908804864 is an apocalyptic number.

484908804864 is a gapful number since it is divisible by the number (44) 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 484908804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778942157084).

484908804864 is an abundant number, since it is smaller than the sum of its proper divisors (1072975509304).

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

484908804864 is a wasteful number, since it uses less digits than its factorization.

484908804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23944 (or 23916 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 484908804864 in words is "four hundred eighty-four billion, nine hundred eight million, eight hundred four thousand, eight hundred sixty-four".