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97128875008 = 2101129409727
BaseRepresentation
bin101101001110101010…
…1010000010000000000
3100021201002010002012001
41122131111100100000
53042404443000013
6112342000513344
710005641546464
oct1323525202000
9307632102161
1097128875008
1138212799430
12169a831b854
13920ba3b909
1449b5a044a4
1527d7150ddd
hex169d550400

97128875008 has 176 divisors, whose sum is σ = 219955881600. Its totient is φ = 42464378880.

The previous prime is 97128875003. The next prime is 97128875009. The reversal of 97128875008 is 80057882179.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 97128875008.

It is not an unprimeable number, because it can be changed into a prime (97128875003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133601941 + ... + 133602667.

Almost surely, 297128875008 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 97128875008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109977940800).

97128875008 is an abundant number, since it is smaller than the sum of its proper divisors (122827006592).

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

97128875008 is a wasteful number, since it uses less digits than its factorization.

97128875008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 55.

The spelling of 97128875008 in words is "ninety-seven billion, one hundred twenty-eight million, eight hundred seventy-five thousand, eight".