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86864024448 = 273275402799
BaseRepresentation
bin101000011100101111…
…1111101001110000000
322022012200222122101200
41100321133331032000
52410344142240243
6103523233301200
76163400011455
oct1207137751600
9268180878350
1086864024448
1133925528263
1214a02704800
13826420c446
1442c061b82c
1523d5dc8ad3
hex14397fd380

86864024448 has 48 divisors (see below), whose sum is σ = 249960282000. Its totient is φ = 28954674432.

The previous prime is 86864024431. The next prime is 86864024503. The reversal of 86864024448 is 84442046868.

86864024448 is a `hidden beast` number, since 86 + 86 + 40 + 2 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 86864024394 and 86864024403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37700248 + ... + 37702551.

It is an arithmetic number, because the mean of its divisors is an integer number (5207505875).

Almost surely, 286864024448 is an apocalyptic number.

It is an amenable number.

86864024448 is an abundant number, since it is smaller than the sum of its proper divisors (163096257552).

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

86864024448 is a wasteful number, since it uses less digits than its factorization.

86864024448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75402819 (or 75402804 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 86864024448 in words is "eighty-six billion, eight hundred sixty-four million, twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 75402799 150805598 226208397 301611196 452416794 603222392 678625191 904833588 1206444784 1357250382 1809667176 2412889568 2714500764 3619334352 4825779136 5429001528 7238668704 9651558272 10858003056 14477337408 21716006112 28954674816 43432012224 86864024448