Base | Representation |
---|---|
bin | 101101001011101011… |
… | …0111101101100000000 |
3 | 100021110002112121222220 |
4 | 1122113112331230000 |
5 | 3042203314104333 |
6 | 112324020531040 |
7 | 10003314000402 |
oct | 1322726755400 |
9 | 307402477886 |
10 | 97028659968 |
11 | 38171170389 |
12 | 1697a850a80 |
13 | 91c4051286 |
14 | 49a6598b72 |
15 | 27cd4578b3 |
hex | 16975bdb00 |
97028659968 has 72 divisors (see below), whose sum is σ = 259243079088. Its totient is φ = 32216973312.
The previous prime is 97028659951. The next prime is 97028659991. The reversal of 97028659968 is 86995682079.
It is a super-3 number, since 3×970286599683 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 48421 + ... + 443172.
Almost surely, 297028659968 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 97028659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129621539544).
97028659968 is an abundant number, since it is smaller than the sum of its proper divisors (162214419120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97028659968 is a wasteful number, since it uses less digits than its factorization.
97028659968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491869 (or 491855 counting only the distinct ones).
The product of its (nonzero) digits is 117573120, while the sum is 69.
The spelling of 97028659968 in words is "ninety-seven billion, twenty-eight million, six hundred fifty-nine thousand, nine hundred sixty-eight".
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