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97603169664 = 27371113318191
BaseRepresentation
bin101101011100110011…
…0100010110110000000
3100022221010120202010210
41122321212202312000
53044342402412124
6112501022354120
710023461152650
oct1327146426600
9308833522123
1097603169664
1138436498a90
1216abb12b940
139286093740
144a1c9c8360
152813adca29
hex16b99a2d80

97603169664 has 512 divisors, whose sum is σ = 359367966720. Its totient is φ = 22643712000.

The previous prime is 97603169663. The next prime is 97603169687. The reversal of 97603169664 is 46696130679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97603169663) 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 63 ways as a sum of consecutive naturals, for example, 11911809 + ... + 11919999.

It is an arithmetic number, because the mean of its divisors is an integer number (701890560).

Almost surely, 297603169664 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 97603169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179683983360).

97603169664 is an abundant number, since it is smaller than the sum of its proper divisors (261764797056).

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

97603169664 is a wasteful number, since it uses less digits than its factorization.

97603169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 97603169664 in words is "ninety-seven billion, six hundred three million, one hundred sixty-nine thousand, six hundred sixty-four".