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97348245568 = 26719233789151
BaseRepresentation
bin101101010101001101…
…0000101100001000000
3100022021100220021000121
41122222122011201000
53043332122324233
6112415434430024
710014244302010
oct1325232054100
9308240807017
1097348245568
1138315601812
1216a49892314
139245318992
1449d6bc9c40
1527eb53492d
hex16aa685840

97348245568 has 448 divisors, whose sum is σ = 253515571200. Its totient is φ = 36130406400.

The previous prime is 97348245559. The next prime is 97348245581. The reversal of 97348245568 is 86554284379.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644690293 + ... + 644690443.

Almost surely, 297348245568 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 97348245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126757785600).

97348245568 is an abundant number, since it is smaller than the sum of its proper divisors (156167325632).

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

97348245568 is a wasteful number, since it uses less digits than its factorization.

97348245568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 61.

The spelling of 97348245568 in words is "ninety-seven billion, three hundred forty-eight million, two hundred forty-five thousand, five hundred sixty-eight".