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861211112168 = 231128310719047
BaseRepresentation
bin11001000100001000010…
…11101011001011101000
310001022221021122102022002
430202010023223023220
5103102230021042133
61455345050550132
7116135420446001
oct14420413531350
93038837572262
10861211112168
11302268248300
1211aaa9a38348
136329a5bbb84
142d97b9dc1a8
1517607027ce8
hexc8842eb2e8

861211112168 has 48 divisors (see below), whose sum is σ = 1796298063840. Its totient is φ = 386743179680.

The previous prime is 861211112161. The next prime is 861211112171.

861211112168 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (861211112161) 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 11 ways as a sum of consecutive naturals, for example, 5279180 + ... + 5439867.

It is an arithmetic number, because the mean of its divisors is an integer number (37422876330).

Almost surely, 2861211112168 is an apocalyptic number.

861211112168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

861211112168 is an abundant number, since it is smaller than the sum of its proper divisors (935086951672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

861211112168 is a wasteful number, since it uses less digits than its factorization.

861211112168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719158 (or 10719143 counting only the distinct ones).

The product of its digits is 9216, while the sum is 38.

It can be divided in two parts, 861211 and 112168, that added together give a palindrome (973379).

The spelling of 861211112168 in words is "eight hundred sixty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 83 88 121 166 242 332 484 664 913 968 1826 3652 7304 10043 20086 40172 80344 10719047 21438094 42876188 85752376 117909517 235819034 471638068 889680901 943276136 1297004687 1779361802 2594009374 3558723604 5188018748 7117447208 9786489911 10376037496 19572979822 39145959644 78291919288 107651389021 215302778042 430605556084 861211112168