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56533920536448 = 2732330131486523
BaseRepresentation
bin11001101101010110101000…
…10000000101011110000000
321102011120221010101022121100
430312223110100011132000
524402222432124131243
6320123154034254400
714623304152544145
oct1466532420053600
9242146833338540
1056533920536448
11170169a0341033
12641079b727400
1325711835b4184
14dd63836123cc
1568089c6300d3
hex336ad4405780

56533920536448 has 96 divisors (see below), whose sum is σ = 162687282558840. Its totient is φ = 18844056677376.

The previous prime is 56533920536441. The next prime is 56533920536477. The reversal of 56533920536448 is 84463502933565.

56533920536448 is a `hidden beast` number, since 5 + 6 + 5 + 3 + 3 + 92 + 0 + 536 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56533920536441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37287715 + ... + 38774237.

Almost surely, 256533920536448 is an apocalyptic number.

It is an amenable number.

56533920536448 is an abundant number, since it is smaller than the sum of its proper divisors (106153362022392).

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

56533920536448 is a wasteful number, since it uses less digits than its factorization.

56533920536448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519556 (or 1519541 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 63.

The spelling of 56533920536448 in words is "fifty-six trillion, five hundred thirty-three billion, nine hundred twenty million, five hundred thirty-six 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 33013 66026 99039 132052 198078 264104 297117 396156 528208 594234 792312 1056416 1188468 1486523 1584624 2112832 2376936 2973046 3169248 4225664 4459569 4753872 5946092 6338496 8919138 9507744 11892184 12676992 13378707 17838276 19015488 23784368 26757414 35676552 38030976 47568736 53514828 71353104 95137472 107029656 142706208 190274944 214059312 285412416 428118624 570824832 856237248 1712474496 49074583799 98149167598 147223751397 196298335196 294447502794 392596670392 441671254191 588895005588 785193340784 883342508382 1177790011176 1570386681568 1766685016764 2355580022352 3140773363136 3533370033528 4711160044704 6281546726272 7066740067056 9422320089408 14133480134112 18844640178816 28266960268224 56533920536448