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85380363081 = 3213282368207
BaseRepresentation
bin100111110000100010…
…0001111001101001001
322011101022012211121200
41033201010033031021
52344324333104311
6103120113254413
76111543053226
oct1174104171511
9264338184550
1085380363081
1133233a97542
1214669864409
138088a1ac00
1441bd56c94d
15234aa0a556
hex13e110f349

85380363081 has 36 divisors (see below), whose sum is σ = 133707869568. Its totient is φ = 52477150752.

The previous prime is 85380363037. The next prime is 85380363119. The reversal of 85380363081 is 18036308358.

85380363081 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 0 + 3 + 630 + 8 + 1 = 666.

It is not a de Polignac number, because 85380363081 - 219 = 85379838793 is a prime.

It is a super-2 number, since 2×853803630812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85380363281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1217680 + ... + 1285886.

It is an arithmetic number, because the mean of its divisors is an integer number (3714107488).

Almost surely, 285380363081 is an apocalyptic number.

It is an amenable number.

85380363081 is a deficient number, since it is larger than the sum of its proper divisors (48327506487).

85380363081 is a wasteful number, since it uses less digits than its factorization.

85380363081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69062 (or 69046 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85380363081 in words is "eighty-five billion, three hundred eighty million, three hundred sixty-three thousand, eighty-one".

Divisors: 1 3 9 13 39 117 169 507 823 1521 2469 7407 10699 32097 68207 96291 139087 204621 417261 613863 886691 1251783 2660073 7980219 11526983 34580949 56134361 103742847 168403083 505209249 729746693 2189240079 6567720237 9486707009 28460121027 85380363081