Base | Representation |
---|---|
bin | 101101001110101101… |
… | …0110100000100011000 |
3 | 100021201011212010102000 |
4 | 1122131122310010120 |
5 | 3042410331114230 |
6 | 112342052041000 |
7 | 10005660126531 |
oct | 1323532640430 |
9 | 307634763360 |
10 | 97130332440 |
11 | 382135a4419 |
12 | 169a8903160 |
13 | 920c12c0bb |
14 | 49b5ca3688 |
15 | 27d733cb60 |
hex | 169d6b4118 |
97130332440 has 256 divisors, whose sum is σ = 350021952000. Its totient is φ = 23874808320.
The previous prime is 97130332423. The next prime is 97130332447. The reversal of 97130332440 is 4423303179.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 97130332395 and 97130332404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97130332447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695275 + ... + 823205.
It is an arithmetic number, because the mean of its divisors is an integer number (1367273250).
Almost surely, 297130332440 is an apocalyptic number.
97130332440 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 97130332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175010976000).
97130332440 is an abundant number, since it is smaller than the sum of its proper divisors (252891619560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97130332440 is a wasteful number, since it uses less digits than its factorization.
97130332440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128007 (or 127997 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
The spelling of 97130332440 in words is "ninety-seven billion, one hundred thirty million, three hundred thirty-two thousand, four hundred forty".
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