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97965905328 = 2433613717589
BaseRepresentation
bin101101100111100111…
…0010001010110110000
3100100212102010121221000
41123033032101112300
53101113232432303
6113001021202000
710035454312224
oct1331716212660
9310772117830
1097965905328
1138602221725
1216ba0700300
139313288725
144a54c4c784
15283588eda3
hex16cf3915b0

97965905328 has 80 divisors (see below), whose sum is σ = 285808319200. Its totient is φ = 32119960320.

The previous prime is 97965905299. The next prime is 97965905341. The reversal of 97965905328 is 82350956979.

97965905328 is a `hidden beast` number, since 9 + 7 + 9 + 6 + 5 + 90 + 532 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832443 + ... + 1885146.

It is an arithmetic number, because the mean of its divisors is an integer number (3572603990).

Almost surely, 297965905328 is an apocalyptic number.

It is an amenable number.

97965905328 is an abundant number, since it is smaller than the sum of its proper divisors (187842413872).

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

97965905328 is a wasteful number, since it uses less digits than its factorization.

97965905328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717667 (or 3717655 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 97965905328 in words is "ninety-seven billion, nine hundred sixty-five million, nine hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 6588 8784 13176 26352 3717589 7435178 11152767 14870356 22305534 29740712 33458301 44611068 59481424 66916602 89222136 100374903 133833204 178444272 200749806 226772929 267666408 401499612 453545858 535332816 680318787 802999224 907091716 1360637574 1605998448 1814183432 2040956361 2721275148 3628366864 4081912722 5442550296 6122869083 8163825444 10885100592 12245738166 16327650888 24491476332 32655301776 48982952664 97965905328