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97348256096 = 25721321133251
BaseRepresentation
bin101101010101001101…
…0001000000101100000
3100022021100220210110112
41122222122020011200
53043332123143341
6112415434550452
710014244344500
oct1325232100540
9308240823415
1097348256096
1138315609713
1216a49898428
139245320700
1449d6bcda00
1527eb537aeb
hex16aa688160

97348256096 has 216 divisors, whose sum is σ = 243625017384. Its totient is φ = 38158848000.

The previous prime is 97348256029. The next prime is 97348256099. The reversal of 97348256096 is 69065284379.

It is a super-2 number, since 2×973482560962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97348256099) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29942471 + ... + 29945721.

It is an arithmetic number, because the mean of its divisors is an integer number (1127893599).

Almost surely, 297348256096 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 97348256096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121812508692).

97348256096 is an abundant number, since it is smaller than the sum of its proper divisors (146276761288).

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

97348256096 is a wasteful number, since it uses less digits than its factorization.

97348256096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 59.

The spelling of 97348256096 in words is "ninety-seven billion, three hundred forty-eight million, two hundred fifty-six thousand, ninety-six".