Search a number
-
+
97100948610 = 23354753592447
BaseRepresentation
bin101101001101110101…
…0101110010010000010
3100021122010120021101000
41122123222232102002
53042330320323420
6112335122152430
710005152305431
oct1323352562202
9307563507330
1097100948610
11381a8a54966
121699aab2716
139206011713
1449b2015118
1527d4986690
hex169baae482

97100948610 has 256 divisors, whose sum is σ = 274113331200. Its totient is φ = 24433074432.

The previous prime is 97100948603. The next prime is 97100948627. The reversal of 97100948610 is 1684900179.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39680407 + ... + 39682853.

It is an arithmetic number, because the mean of its divisors is an integer number (1070755200).

Almost surely, 297100948610 is an apocalyptic number.

97100948610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97100948610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137056665600).

97100948610 is an abundant number, since it is smaller than the sum of its proper divisors (177012382590).

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

97100948610 is a wasteful number, since it uses less digits than its factorization.

97100948610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 97100948610 in words is "ninety-seven billion, one hundred million, nine hundred forty-eight thousand, six hundred ten".