Search a number
-
+
85877074107 = 32113161647709
BaseRepresentation
bin100111111111010101…
…1000010100010111011
322012122220212101001100
41033332223002202323
52401334012332412
6103241255422443
76130054041306
oct1177653024273
9265586771040
1085877074107
1133469407920
1214788084a23
1381378c0c66
144229509b3d
152379423edc
hex13feac28bb

85877074107 has 96 divisors (see below), whose sum is σ = 142396600320. Its totient is φ = 49395744000.

The previous prime is 85877074043. The next prime is 85877074121. The reversal of 85877074107 is 70147077858.

85877074107 is a `hidden beast` number, since 85 + 87 + 70 + 7 + 410 + 7 = 666.

It is not a de Polignac number, because 85877074107 - 26 = 85877074043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85877074187) 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, 121123869 + ... + 121124577.

It is an arithmetic number, because the mean of its divisors is an integer number (1483297920).

Almost surely, 285877074107 is an apocalyptic number.

85877074107 is a deficient number, since it is larger than the sum of its proper divisors (56519526213).

85877074107 is a wasteful number, since it uses less digits than its factorization.

85877074107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 54.

The spelling of 85877074107 in words is "eighty-five billion, eight hundred seventy-seven million, seventy-four thousand, one hundred seven".

Divisors: 1 3 9 11 31 33 61 93 99 183 279 341 549 647 671 709 1023 1891 1941 2013 2127 3069 5673 5823 6039 6381 7117 7799 17019 20057 20801 21351 21979 23397 39467 43249 60171 62403 64053 65937 70191 118401 129747 180513 187209 197811 220627 241769 355203 389241 434137 458723 475739 661881 725307 1223477 1302411 1340719 1376169 1427217 1985643 2175921 3670431 3907233 4022157 4128507 4281651 5045953 11011293 12066471 13458247 14220413 14747909 15137859 27982103 40374741 42661239 44243727 45413577 83946309 121124223 127983717 132731181 156424543 251838927 307803133 469273629 867445193 923409399 1407820887 2602335579 2770228197 7807006737 9541897123 28625691369 85877074107