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114920864025 = 35211178599539
BaseRepresentation
bin110101100000111010…
…0010011100100011001
3101222122000212202210020
41223001310103210121
53340324220122100
6124443252541053
711205563140542
oct1530164234431
9358560782706
10114920864025
1144812917090
121a332921789
13aab5b3b776
1457c29654c9
152ec911b5a0
hex1ac1d13919

114920864025 has 96 divisors (see below), whose sum is σ = 219746649600. Its totient is φ = 52375065600.

The previous prime is 114920863997. The next prime is 114920864033. The reversal of 114920864025 is 520468029411.

It is a de Polignac number, because none of the positive numbers 2k-114920864025 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12042706 + ... + 12052244.

It is an arithmetic number, because the mean of its divisors is an integer number (2289027600).

Almost surely, 2114920864025 is an apocalyptic number.

114920864025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114920864025 is a deficient number, since it is larger than the sum of its proper divisors (104825785575).

114920864025 is a wasteful number, since it uses less digits than its factorization.

114920864025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 114920864025 in words is "one hundred fourteen billion, nine hundred twenty million, eight hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 165 187 255 275 425 561 825 859 935 1275 2577 2805 4295 4675 9449 9539 12885 14025 14603 21475 28347 28617 43809 47245 47695 64425 73015 104929 141735 143085 160633 162163 219045 236225 238475 314787 365075 481899 486489 524645 708675 715425 803165 810815 1095225 1573935 1783793 2409495 2432445 2623225 4015825 4054075 5351379 7869675 8194001 8918965 12047475 12162225 24582003 26756895 40970005 44594825 90134011 122910015 133784475 139298017 204850025 270402033 417894051 450670055 614550075 696490085 1352010165 1532278187 2089470255 2253350275 3482450425 4596834561 6760050825 7661390935 10447351275 22984172805 38306954675 114920864025