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166985091 = 3373131973
BaseRepresentation
bin10011111001111…
…11110110000011
3102122012201111000
421330333312003
5320222010331
624323023043
74065231000
oct1174776603
9378181430
10166985091
1186293409
1247b0aa83
1328797c60
141826a8a7
15e9d70e6
hex9f3fd83

166985091 has 128 divisors (see below), whose sum is σ = 331520000. Its totient is φ = 82301184.

The previous prime is 166985089. The next prime is 166985111. The reversal of 166985091 is 190589661.

It is not a de Polignac number, because 166985091 - 21 = 166985089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166985041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2287431 + ... + 2287503.

It is an arithmetic number, because the mean of its divisors is an integer number (2590000).

Almost surely, 2166985091 is an apocalyptic number.

166985091 is a deficient number, since it is larger than the sum of its proper divisors (164534909).

166985091 is a wasteful number, since it uses less digits than its factorization.

166985091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 166985091 is about 12922.2711239163. The cubic root of 166985091 is about 550.6714565162.

The spelling of 166985091 in words is "one hundred sixty-six million, nine hundred eighty-five thousand, ninety-one".

Divisors: 1 3 7 9 13 19 21 27 39 49 57 63 73 91 117 133 147 171 189 219 247 273 343 351 399 441 511 513 637 657 741 819 931 949 1029 1197 1323 1387 1533 1729 1911 1971 2223 2457 2793 2847 3087 3577 3591 4161 4459 4599 5187 5733 6517 6643 6669 8379 8541 9261 9709 10731 12103 12483 13377 13797 15561 17199 18031 19551 19929 25039 25137 25623 29127 32193 36309 37449 40131 46501 46683 54093 58653 59787 67963 75117 84721 87381 96579 108927 120393 126217 139503 162279 175959 179361 203889 225351 254163 262143 325507 326781 378651 418509 475741 486837 611667 676053 762489 883519 976521 1135953 1255527 1427223 1835001 2287467 2650557 2929563 3407859 4281669 6184633 7951671 8788689 12845007 18553899 23855013 55661697 166985091