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4820668704 = 253264126113
BaseRepresentation
bin1000111110101010…
…11001000100100000
3110102221221100021100
410133111121010200
534333042344304
62114203354400
7230314002465
oct43725310440
913387840240
104820668704
112054161825
12b26522a00
135ba9601b7
1433a33d66c
151d3331439
hex11f559120

4820668704 has 72 divisors (see below), whose sum is σ = 13730688972. Its totient is φ = 1604321280.

The previous prime is 4820668687. The next prime is 4820668709. The reversal of 4820668704 is 4078660284.

It can be written as a sum of positive squares in 2 ways, for example, as 4402057104 + 418611600 = 66348^2 + 20460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4820668704.

It is not an unprimeable number, because it can be changed into a prime (4820668709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171552 + ... + 197664.

Almost surely, 24820668704 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 4820668704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865344486).

4820668704 is an abundant number, since it is smaller than the sum of its proper divisors (8910020268).

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

4820668704 is a wasteful number, since it uses less digits than its factorization.

4820668704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26770 (or 26759 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4820668704 is about 69431.0355964824. The cubic root of 4820668704 is about 1689.2830664683.

The spelling of 4820668704 in words is "four billion, eight hundred twenty million, six hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 641 1282 1923 2564 3846 5128 5769 7692 10256 11538 15384 20512 23076 26113 30768 46152 52226 61536 78339 92304 104452 156678 184608 208904 235017 313356 417808 470034 626712 835616 940068 1253424 1880136 2506848 3760272 7520544 16738433 33476866 50215299 66953732 100430598 133907464 150645897 200861196 267814928 301291794 401722392 535629856 602583588 803444784 1205167176 1606889568 2410334352 4820668704