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7669485000 = 23345429653
BaseRepresentation
bin1110010010010001…
…10000110111001000
3201210111111012120000
413021020300313020
5111201342010000
63305011403000
7361025355402
oct71110606710
921714435500
107669485000
113286251661
1215a05b3460
13952c1cb08
1452a82db72
152ed4b0000
hex1c9230dc8

7669485000 has 400 divisors, whose sum is σ = 27811644300. Its totient is φ = 1971648000.

The previous prime is 7669484993. The next prime is 7669485001. The reversal of 7669485000 is 5849667.

It can be written as a sum of positive squares in 10 ways, for example, as 1233273924 + 6436211076 = 35118^2 + 80226^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7669485001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 11744674 + ... + 11745326.

Almost surely, 27669485000 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 7669485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13905822150).

7669485000 is an abundant number, since it is smaller than the sum of its proper divisors (20142159300).

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

7669485000 is a wasteful number, since it uses less digits than its factorization.

7669485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7669485000 is about 87575.5959157573. The cubic root of 7669485000 is about 1972.0688239115.

The spelling of 7669485000 in words is "seven billion, six hundred sixty-nine million, four hundred eighty-five thousand".