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9137676780765 = 32513291097490993
BaseRepresentation
bin1000010011111000011111…
…1110101000010011011101
31012100112221101221221102200
42010332013332220103131
52144202430223441030
631233442445442113
71632114102045531
oct204760776502335
935315841857380
109137676780765
112a032a3362275
121036b39570339
135138aa33a040
142383a195dbc1
1510ca5a491d60
hex84f87fa84dd

9137676780765 has 96 divisors (see below), whose sum is σ = 17661289857120. Its totient is φ = 4339457998848.

The previous prime is 9137676780761. The next prime is 9137676780769. The reversal of 9137676780765 is 5670876767319.

It is an interprime number because it is at equal distance from previous prime (9137676780761) and next prime (9137676780769).

It can be written as a sum of positive squares in 16 ways, for example, as 1862848279044 + 7274828501721 = 1364862^2 + 2697189^2 .

It is not a de Polignac number, because 9137676780765 - 22 = 9137676780761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9137676780693 and 9137676780702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9137676780761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18365109 + ... + 18856101.

It is an arithmetic number, because the mean of its divisors is an integer number (183971769345).

Almost surely, 29137676780765 is an apocalyptic number.

It is an amenable number.

9137676780765 is a deficient number, since it is larger than the sum of its proper divisors (8523613076355).

9137676780765 is a wasteful number, since it uses less digits than its factorization.

9137676780765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492143 (or 492140 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 9137676780765 in words is "nine trillion, one hundred thirty-seven billion, six hundred seventy-six million, seven hundred eighty thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1097 1131 1305 1885 3291 3393 5485 5655 9873 14261 16455 16965 31813 42783 49365 71305 95439 128349 159065 213915 286317 413569 477195 490993 641745 1240707 1431585 1472979 2067845 2454965 3722121 4418937 6203535 6382909 7364895 14238797 18610605 19148727 22094685 31914545 42716391 57446181 71193985 95743635 128149173 185104361 213581955 287230905 538619321 555313083 640745865 925521805 1615857963 1665939249 2693096605 2776565415 4847573889 7002051173 8079289815 8329696245 15619960309 21006153519 24237869445 35010255865 46859880927 63018460557 78099801545 105030767595 140579642781 203059484017 234299404635 315092302785 609178452051 702898213905 1015297420085 1827535356153 3045892260255 9137676780765