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9977760975 = 35272134572
BaseRepresentation
bin10010100101011100…
…01000110011001111
3221202100220202220210
421102232020303033
5130413301322400
64330030013503
7502154366100
oct112256106317
927670822823
109977760975
114260205556
121b25647293
13c30201ba0
146a92143a7
153d5e68950
hex252b88ccf

9977760975 has 108 divisors (see below), whose sum is σ = 20711346264. Its totient is φ = 4201182720.

The previous prime is 9977760901. The next prime is 9977761019. The reversal of 9977760975 is 5790677799.

9977760975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9977760975 - 216 = 9977695439 is a prime.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 21832947 + ... + 21833403.

Almost surely, 29977760975 is an apocalyptic number.

9977760975 is an abundant number, since it is smaller than the sum of its proper divisors (10733585289).

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

9977760975 is a wasteful number, since it uses less digits than its factorization.

9977760975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 52509870, while the sum is 66.

The square root of 9977760975 is about 99888.7429843824. The cubic root of 9977760975 is about 2152.8364204160.

The spelling of 9977760975 in words is "nine billion, nine hundred seventy-seven million, seven hundred sixty thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 455 457 525 637 735 975 1225 1365 1371 1911 2275 2285 3185 3199 3675 5941 6825 6855 9555 9597 11425 15925 15995 17823 22393 29705 34275 41587 47775 47985 67179 79975 89115 111965 124761 148525 207935 208849 239925 291109 335895 445575 559825 623805 626547 873327 1039675 1044245 1455545 1461943 1679475 2715037 3119025 3132735 4366635 4385829 5221225 7277725 7309715 8145111 10233601 13575185 15663675 19005259 21833175 21929145 30700803 36548575 40725555 51168005 57015777 67875925 95026295 109645725 133036813 153504015 203627775 255840025 285078885 399110439 475131475 665184065 767520075 1425394425 1995552195 3325920325 9977760975