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232638255136128 = 2734198143150559
BaseRepresentation
bin110100111001010101010000…
…100011101111110110000000
31010111200222222222210222202110
4310321111100203233312000
5220443021121303324003
62142440312232215320
7100000362555452202
oct6471252043576600
91114628888728673
10232638255136128
116814236a180766
1222112a28b3a540
139ca69023182ca
144163a7466c772
151bd66c53d3a03
hexd395508efd80

232638255136128 has 128 divisors (see below), whose sum is σ = 633027857817600. Its totient is φ = 75653443768320.

The previous prime is 232638255136121. The next prime is 232638255136139. The reversal of 232638255136128 is 821631552836232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232638255136121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545088113 + ... + 1545238671.

It is an arithmetic number, because the mean of its divisors is an integer number (4945530139200).

Almost surely, 2232638255136128 is an apocalyptic number.

It is an amenable number.

232638255136128 is an abundant number, since it is smaller than the sum of its proper divisors (400389602681472).

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

232638255136128 is a wasteful number, since it uses less digits than its factorization.

232638255136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248760 (or 248748 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The spelling of 232638255136128 in words is "two hundred thirty-two trillion, six hundred thirty-eight billion, two hundred fifty-five million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 98143 150559 196286 294429 301118 392572 451677 588858 602236 785144 903354 1177716 1204472 1570288 1806708 2355432 2408944 3140576 3613416 4023863 4710864 4817888 6172919 6281152 7226832 8047726 9421728 9635776 12071589 12345838 12562304 14453664 16095452 18518757 18843456 19271552 24143178 24691676 28907328 32190904 37037514 37686912 48286356 49383352 57814656 64381808 74075028 96572712 98766704 128763616 148150056 193145424 197533408 257527232 296300112 386290848 395066816 515054464 592600224 772581696 790133632 1185200448 1545163392 2370400896 14776311937 29552623874 44328935811 59105247748 88657871622 118210495496 177315743244 236420990992 354631486488 472841981984 605828789417 709262972976 945683963968 1211657578834 1418525945952 1817486368251 1891367927936 2423315157668 2837051891904 3634972736502 4846630315336 5674103783808 7269945473004 9693260630672 14539890946008 19386521261344 29079781892016 38773042522688 58159563784032 77546085045376 116319127568064 232638255136128