| Base | Representation |
|---|---|
| bin | 101101010011100000… |
| … | …1001111010011010000 |
| 3 | 100022010101221020010000 |
| 4 | 1122213001033103100 |
| 5 | 3043223044303100 |
| 6 | 112410044210000 |
| 7 | 10012654154445 |
| oct | 1324701172320 |
| 9 | 308111836100 |
| 10 | 97291400400 |
| 11 | 38296506137 |
| 12 | 16a32839900 |
| 13 | 923660499c |
| 14 | 49cd42d9cc |
| 15 | 27e6556900 |
| hex | 16a704f4d0 |
97291400400 has 450 divisors, whose sum is σ = 356216378210. Its totient is φ = 25431045120.
The previous prime is 97291400383. The next prime is 97291400407. The reversal of 97291400400 is 400419279.
97291400400 is a `hidden beast` number, since 97 + 29 + 140 + 0 + 400 = 666.
It can be written as a sum of positive squares in 9 ways, for example, as 9744058944 + 87547341456 = 98712^2 + 295884^2 .
It is a tau number, because it is divible by the number of its divisors (450).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97291400407) 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 89 ways as a sum of consecutive naturals, for example, 91011066 + ... + 91012134.
Almost surely, 297291400400 is an apocalyptic number.
97291400400 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 97291400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178108189105).
97291400400 is an abundant number, since it is smaller than the sum of its proper divisors (258924977810).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97291400400 is a wasteful number, since it uses less digits than its factorization.
97291400400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1205 (or 1132 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
Adding to 97291400400 its reverse (400419279), we get a palindrome (97691819679).
The spelling of 97291400400 in words is "ninety-seven billion, two hundred ninety-one million, four hundred thousand, four hundred".
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