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114360067864 = 23722910059823
BaseRepresentation
bin110101010000001100…
…1000010011100011000
3101221011221122101002001
41222200121002130120
53333202134132424
6124311501050344
711155643352400
oct1524031023430
9357157571061
10114360067864
1144555305689
121a1b6b569b4
13aa268bb213
14576c2a5800
152e94c94844
hex1aa0642718

114360067864 has 48 divisors (see below), whose sum is σ = 258034485600. Its totient is φ = 47321402688.

The previous prime is 114360067853. The next prime is 114360067891. The reversal of 114360067864 is 468760063411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5018544 + ... + 5041279.

It is an arithmetic number, because the mean of its divisors is an integer number (5375718450).

Almost surely, 2114360067864 is an apocalyptic number.

114360067864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114360067864 is an abundant number, since it is smaller than the sum of its proper divisors (143674417736).

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

114360067864 is a wasteful number, since it uses less digits than its factorization.

114360067864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10059872 (or 10059861 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 114360067864 in words is "one hundred fourteen billion, three hundred sixty million, sixty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 5684 11368 10059823 20119646 40239292 70418761 80478584 140837522 281675044 291734867 492931327 563350088 583469734 985862654 1166939468 1971725308 2042144069 2333878936 3943450616 4084288138 8168576276 14295008483 16337152552 28590016966 57180033932 114360067864