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105424267716 = 2233976150627
BaseRepresentation
bin110001000101111000…
…1101010100111000100
3101002010012100200201000
41202023301222213010
53211402103031331
6120233051533300
710421340330045
oct1421361524704
9332105320630
10105424267716
114078a283789
121852245a230
139c31528701
1451616028cc
152b2054a0e6
hex188bc6a9c4

105424267716 has 24 divisors (see below), whose sum is σ = 273322175840. Its totient is φ = 35141422536.

The previous prime is 105424267681. The next prime is 105424267717. The reversal of 105424267716 is 617762424501.

105424267716 is a `hidden beast` number, since 1 + 0 + 542 + 4 + 26 + 77 + 16 = 666.

It is a super-2 number, since 2×1054242677162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105424267717) 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 7 ways as a sum of consecutive naturals, for example, 488075206 + ... + 488075421.

Almost surely, 2105424267716 is an apocalyptic number.

It is an amenable number.

105424267716 is an abundant number, since it is smaller than the sum of its proper divisors (167897908124).

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

105424267716 is a wasteful number, since it uses less digits than its factorization.

105424267716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976150640 (or 976150632 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 105424267716 in words is "one hundred five billion, four hundred twenty-four million, two hundred sixty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 976150627 1952301254 2928451881 3904602508 5856903762 8785355643 11713807524 17570711286 26356066929 35141422572 52712133858 105424267716