Search a number
-
+
97209972288 = 263311131773317
BaseRepresentation
bin101101010001000101…
…0100111011001000000
3100021220201201020202000
41122202022213121000
53043041223103123
6112354015024000
710010645062632
oct1324212473100
9307821636660
1097209972288
1138254549a80
1216a0b50b000
139222794580
1449c26b4a52
1527de31eb43
hex16a22a7640

97209972288 has 896 divisors, whose sum is σ = 361496701440. Its totient is φ = 25161891840.

The previous prime is 97209972281. The next prime is 97209972389. The reversal of 97209972288 is 88227990279.

It is not an unprimeable number, because it can be changed into a prime (97209972281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306655906 + ... + 306656222.

It is an arithmetic number, because the mean of its divisors is an integer number (403456140).

Almost surely, 297209972288 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 97209972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180748350720).

97209972288 is an abundant number, since it is smaller than the sum of its proper divisors (264286729152).

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

97209972288 is a wasteful number, since it uses less digits than its factorization.

97209972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 97209972288 in words is "ninety-seven billion, two hundred nine million, nine hundred seventy-two thousand, two hundred eighty-eight".