Search a number
-
+
9474713469000 = 23325313372149397
BaseRepresentation
bin1000100111100000000011…
…1011100100000001001000
31020112202220001221200010200
42021320000323210001020
52220213203122002000
632052342343412200
71665345142452123
oct211700073440110
936482801850120
109474713469000
11302322682561a
12109031a454060
13539600310c90
1424a8158973ba
151166d43de500
hex89e00ee4048

9474713469000 has 1152 divisors, whose sum is σ = 35773025652000. Its totient is φ = 2248296652800.

The previous prime is 9474713468977. The next prime is 9474713469047. The reversal of 9474713469000 is 9643174749.

9474713469000 is a `hidden beast` number, since 9 + 47 + 471 + 3 + 46 + 90 + 0 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 5531875776036 + 3942837692964 = 2351994^2 + 1985658^2 .

It is a super-2 number, since 2×94747134690002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23865776802 + ... + 23865777198.

Almost surely, 29474713469000 is an apocalyptic number.

9474713469000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9474713469000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886512826000).

9474713469000 is an abundant number, since it is smaller than the sum of its proper divisors (26298312183000).

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

9474713469000 is a wasteful number, since it uses less digits than its factorization.

9474713469000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 9474713469000 in words is "nine trillion, four hundred seventy-four billion, seven hundred thirteen million, four hundred sixty-nine thousand".