Search a number
-
+
9780329097 = 3373111931163
BaseRepresentation
bin10010001101111001…
…11111101010001001
3221020121102012022000
421012330333222021
5130012231012342
64254254221213
7464236266000
oct110674775211
927217365260
109780329097
114169817010
121a8b4b4809
13bcb3367a6
1468acddc37
153c396a44c
hex246f3fa89

9780329097 has 256 divisors, whose sum is σ = 20152320000. Its totient is φ = 4629441600.

The previous prime is 9780329093. The next prime is 9780329099. The reversal of 9780329097 is 7909230879.

It is not a de Polignac number, because 9780329097 - 22 = 9780329093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9780329093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60001938 + ... + 60002100.

It is an arithmetic number, because the mean of its divisors is an integer number (78720000).

Almost surely, 29780329097 is an apocalyptic number.

It is an amenable number.

9780329097 is an abundant number, since it is smaller than the sum of its proper divisors (10371990903).

9780329097 is a wasteful number, since it uses less digits than its factorization.

9780329097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 9780329097 is about 98895.5463961851. The cubic root of 9780329097 is about 2138.5421911864.

The spelling of 9780329097 in words is "nine billion, seven hundred eighty million, three hundred twenty-nine thousand, ninety-seven".