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9704480976 = 243267392229
BaseRepresentation
bin10010000100110111…
…01010000011010000
3221001022200201020100
421002123222003100
5124333321342401
64242544412400
7462325504311
oct110233520320
927038621210
109704480976
11412aa21213
121a6a017100
13bb86cb148
14680bd8608
153bbe86b86
hex2426ea0d0

9704480976 has 30 divisors (see below), whose sum is σ = 27159068690. Its totient is φ = 3234826944.

The previous prime is 9704480969. The next prime is 9704480987. The reversal of 9704480976 is 6790844079.

It is a happy number.

9704480976 is a `hidden beast` number, since 9 + 70 + 4 + 480 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8991590976 + 712890000 = 94824^2 + 26700^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33695971 + ... + 33696258.

Almost surely, 29704480976 is an apocalyptic number.

It is an amenable number.

9704480976 is an abundant number, since it is smaller than the sum of its proper divisors (17454587714).

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

9704480976 is a wasteful number, since it uses less digits than its factorization.

9704480976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67392243 (or 67392234 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9704480976 is about 98511.3241003287. The cubic root of 9704480976 is about 2132.9995852463. Note that the first 3 decimals are identical.

The spelling of 9704480976 in words is "nine billion, seven hundred four million, four hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 67392229 134784458 202176687 269568916 404353374 539137832 606530061 808706748 1078275664 1213060122 1617413496 2426120244 3234826992 4852240488 9704480976