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84274670601 = 321121924632
BaseRepresentation
bin100111001111100101…
…0010110110000001001
322001112020122211200100
41032133022112300021
52340043303424401
6102414254400013
76042255611052
oct1163712266011
9261466584610
1084274670601
1132816944400
12143bb500009
137c409261c4
14411678b729
1522d38ecb86
hex139f296c09

84274670601 has 81 divisors (see below), whose sum is σ = 141521023917. Its totient is φ = 48282862320.

The previous prime is 84274670581. The next prime is 84274670617. The reversal of 84274670601 is 10607647248.

The square root of 84274670601 is 290301.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 84274670601 - 211 = 84274668553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84274670621) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 182018496 + ... + 182018958.

Almost surely, 284274670601 is an apocalyptic number.

84274670601 is the 290301-st square number.

84274670601 is the 145151-st centered octagonal number.

It is an amenable number.

84274670601 is a deficient number, since it is larger than the sum of its proper divisors (57246353316).

84274670601 is a wasteful number, since it uses less digits than its factorization.

84274670601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 84274670601 in words is "eighty-four billion, two hundred seventy-four million, six hundred seventy thousand, six hundred one".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 361 363 463 627 1083 1089 1389 1881 2299 3249 3971 4167 5093 6897 8797 11913 15279 20691 26391 35739 43681 45837 56023 79173 96767 131043 167143 168069 214369 290301 393129 501429 504207 643107 870903 1064437 1504287 1838573 1929321 2358059 3193311 4073011 5515719 7074177 9579933 12219033 16547157 20224303 21222531 25938649 36657099 44803121 60672909 77387209 77815947 134409363 182018727 232161627 233447841 403228089 492834331 696484881 851259299 1478502993 2553777897 4435508979 7661333691 9363852289 28091556867 84274670601