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996767568 = 243237187081
BaseRepresentation
bin111011011010010…
…111011101010000
32120110121001001100
4323122113131100
54020133030233
6242524104400
733462245616
oct7332273520
92513531040
10996767568
11471716255
12239995100
1312b677ac4
14965496b6
155c793813
hex3b697750

996767568 has 60 divisors (see below), whose sum is σ = 2864973748. Its totient is φ = 323274240.

The previous prime is 996767567. The next prime is 996767581. The reversal of 996767568 is 865767699.

996767568 is a `hidden beast` number, since 9 + 9 + 6 + 7 + 67 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 382124304 + 614643264 = 19548^2 + 24792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996767567) 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 11 ways as a sum of consecutive naturals, for example, 88213 + ... + 98868.

Almost surely, 2996767568 is an apocalyptic number.

It is an amenable number.

996767568 is an abundant number, since it is smaller than the sum of its proper divisors (1868206180).

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

996767568 is a wasteful number, since it uses less digits than its factorization.

996767568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187132 (or 187123 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The square root of 996767568 is about 31571.6259955043. The cubic root of 996767568 is about 998.9213596199.

The spelling of 996767568 in words is "nine hundred ninety-six million, seven hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 187081 374162 561243 748324 1122486 1496648 1683729 2244972 2993296 3367458 4489944 6734916 6921997 8979888 13469832 13843994 20765991 26939664 27687988 41531982 55375976 62297973 83063964 110751952 124595946 166127928 249191892 332255856 498383784 996767568