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9971134965 = 33511311671297
BaseRepresentation
bin10010100100101001…
…10111000111110101
3221201220110010202000
421102110313013311
5130410102304330
64325232005513
7502044151221
oct112224670765
927656403660
109971134965
11425749a310
121b23390899
13c2ba21c7c
146a83ab781
153d55aa560
hex2525371f5

9971134965 has 128 divisors (see below), whose sum is σ = 20096778240. Its totient is φ = 4646937600.

The previous prime is 9971134951. The next prime is 9971134993. The reversal of 9971134965 is 5694311799.

It is not a de Polignac number, because 9971134965 - 24 = 9971134949 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7687197 + ... + 7688493.

It is an arithmetic number, because the mean of its divisors is an integer number (157006080).

Almost surely, 29971134965 is an apocalyptic number.

It is an amenable number.

9971134965 is an abundant number, since it is smaller than the sum of its proper divisors (10125643275).

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

9971134965 is a wasteful number, since it uses less digits than its factorization.

9971134965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 9971134965 is about 99855.5705256347. The cubic root of 9971134965 is about 2152.3597645651.

The spelling of 9971134965 in words is "nine billion, nine hundred seventy-one million, one hundred thirty-four thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 167 279 297 341 465 495 501 835 837 1023 1297 1395 1485 1503 1705 1837 2505 3069 3891 4185 4509 5115 5177 5511 6485 7515 9185 9207 11673 14267 15345 15531 16533 19455 22545 25885 27555 35019 40207 42801 46035 46593 49599 56947 58365 71335 77655 82665 120621 128403 139779 170841 175095 201035 214005 216599 232965 247995 284735 361863 385209 442277 512523 603105 642015 649797 698895 854205 1082995 1085589 1326831 1537569 1809315 1926045 1949391 2211385 2382589 2562615 3248985 3980493 5427945 5848173 6634155 6714569 7147767 7687845 9746955 11912945 11941479 19902465 20143707 21443301 29240865 33572845 35738835 59707395 60431121 64329903 73860259 100718535 107216505 181293363 221580777 302155605 321649515 369301295 664742331 906466815 1107903885 1994226993 3323711655 9971134965