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4204980864 = 2735723189
BaseRepresentation
bin1111101010100010…
…1110101010000000
3101212001102011100000
43322220232222000
532102433341424
61533131200000
7206126514300
oct37250565200
911761364300
104204980864
1118686693a7
129942a6000
13520230b76
142bc671600
151992653c9
hexfaa2ea80

4204980864 has 576 divisors, whose sum is σ = 15237331200. Its totient is φ = 1149603840.

The previous prime is 4204980859. The next prime is 4204980881. The reversal of 4204980864 is 4680894024.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47246932 + ... + 47247020.

It is an arithmetic number, because the mean of its divisors is an integer number (26453700).

Almost surely, 24204980864 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 4204980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

4204980864 is an abundant number, since it is smaller than the sum of its proper divisors (11032350336).

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

4204980864 is an equidigital number, since it uses as much as digits as its factorization.

4204980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4204980864 is about 64845.8237976818. The cubic root of 4204980864 is about 1614.0661931643.

The spelling of 4204980864 in words is "four billion, two hundred four million, nine hundred eighty thousand, eight hundred sixty-four".