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486854885664 = 2535738922993
BaseRepresentation
bin1110001010110101101…
…00000000000100100000
31201112122202100201100000
413011122310000010200
530434034322320124
61011354045500000
750113501151010
oct7053264000440
91645582321300
10486854885664
11178523988544
127a432871600
1336baa99ac04
14197c74c1c40
15c9e6ab96c9
hex715ad00120

486854885664 has 288 divisors, whose sum is σ = 1645171032960. Its totient is φ = 138737774592.

The previous prime is 486854885653. The next prime is 486854885711. The reversal of 486854885664 is 466588458684.

486854885664 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 54 + 8 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 486854885592 and 486854885601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21162552 + ... + 21185544.

It is an arithmetic number, because the mean of its divisors is an integer number (5712399420).

Almost surely, 2486854885664 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 486854885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822585516480).

486854885664 is an abundant number, since it is smaller than the sum of its proper divisors (1158316147296).

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

486854885664 is a wasteful number, since it uses less digits than its factorization.

486854885664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23414 (or 23394 counting only the distinct ones).

The product of its digits is 1415577600, while the sum is 72.

The spelling of 486854885664 in words is "four hundred eighty-six billion, eight hundred fifty-four million, eight hundred eighty-five thousand, six hundred sixty-four".