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704969000000 = 2656893
BaseRepresentation
bin10100100001000110110…
…11010100010001000000
32111101122111112202021222
422100203123110101000
543022234031000000
61255505220134212
7101634534425666
oct12204333242100
92441574482258
10704969000000
11251a80692971
12b4764837368
135162aa63625
1426199216c36
1513510438a85
hexa4236d4440

704969000000 has 196 divisors, whose sum is σ = 1768501972260. Its totient is φ = 278819200000.

The previous prime is 704968999993. The next prime is 704969000003. The reversal of 704969000000 is 969407.

It is a happy number.

The cubic root of 704969000000 is 8900.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 14 ways, for example, as 44754248704 + 660214751296 = 211552^2 + 812536^2 .

It is a super-2 number, since 2×7049690000002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (704969000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7920999956 + ... + 7921000044.

Almost surely, 2704969000000 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 704969000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884250986130).

704969000000 is an abundant number, since it is smaller than the sum of its proper divisors (1063532972260).

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

704969000000 is an frugal number, since it uses more digits than its factorization.

704969000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

Adding to 704969000000 its reverse (969407), we get a palindrome (704969969407).

The spelling of 704969000000 in words is "seven hundred four billion, nine hundred sixty-nine million", and thus it is an aban number.