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85418875377 = 3411197436791
BaseRepresentation
bin100111110001101011…
…1001001100111110001
322011110222200110120000
41033203113021213301
52344414213003002
6103124010540213
76112521314043
oct1174327114761
9264428613500
1085418875377
1133253801390
121467a737669
1380939b3554
1441c4715a93
15234e0b661c
hex13e35c99f1

85418875377 has 80 divisors (see below), whose sum is σ = 146746321920. Its totient is φ = 48971109600.

The previous prime is 85418875349. The next prime is 85418875387. The reversal of 85418875377 is 77357881458.

85418875377 is a `hidden beast` number, since 8 + 5 + 4 + 18 + 87 + 537 + 7 = 666.

It is not a de Polignac number, because 85418875377 - 212 = 85418871281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85418875387) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12574852 + ... + 12581642.

It is an arithmetic number, because the mean of its divisors is an integer number (1834329024).

Almost surely, 285418875377 is an apocalyptic number.

It is an amenable number.

85418875377 is a deficient number, since it is larger than the sum of its proper divisors (61327446543).

85418875377 is a wasteful number, since it uses less digits than its factorization.

85418875377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7567 counting only the distinct ones).

The product of its digits is 52684800, while the sum is 63.

The spelling of 85418875377 in words is "eighty-five billion, four hundred eighteen million, eight hundred seventy-five thousand, three hundred seventy-seven".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 743 891 1539 1881 2229 5643 6687 6791 8173 14117 16929 20061 20373 24519 42351 60183 61119 73557 74701 127053 129029 155287 183357 220671 224103 381159 387087 465861 550071 662013 672309 1143477 1161261 1397583 1419319 2016927 3483783 4192749 4257957 5045713 6050781 10451349 12578247 12773871 15137139 38321613 45411417 55502843 95868547 114964839 136234251 166508529 287605641 408702753 499525587 862816923 1054554017 1498576761 2588450769 3163662051 4495730283 7765352307 9490986153 28472958459 85418875377