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105684885888 = 273275221057
BaseRepresentation
bin110001001101101001…
…1110110000110000000
3101002210100202110121220
41202123103312012000
53212420312322023
6120315001515040
710430653464561
oct1423323660600
9332710673556
10105684885888
11409033a9aaa
12185957a2a80
139c7351814a
145188084168
152b3837a3e3
hex189b4f6180

105684885888 has 32 divisors (see below), whose sum is σ = 280725479160. Its totient is φ = 35228295168.

The previous prime is 105684885853. The next prime is 105684885913. The reversal of 105684885888 is 888588486501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1056848858882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137610145 + ... + 137610912.

Almost surely, 2105684885888 is an apocalyptic number.

It is an amenable number.

105684885888 is an abundant number, since it is smaller than the sum of its proper divisors (175040593272).

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

105684885888 is an equidigital number, since it uses as much as digits as its factorization.

105684885888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275221074 (or 275221062 counting only the distinct ones).

The product of its (nonzero) digits is 157286400, while the sum is 69.

The spelling of 105684885888 in words is "one hundred five billion, six hundred eighty-four million, eight hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 275221057 550442114 825663171 1100884228 1651326342 2201768456 3302652684 4403536912 6605305368 8807073824 13210610736 17614147648 26421221472 35228295296 52842442944 105684885888