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48730148781696 = 273335449397759
BaseRepresentation
bin10110001010001110111110…
…01101010011111010000000
320101112120000212001121102000
423011013133031103322000
522341343321042003241
6251350153222424000
713156431341232234
oct1305073715237200
9211476025047360
1048730148781696
111458838165a908
125570290292000
132126305784145
14c067a21565c4
155978b2951eb6
hex2c51df353e80

48730148781696 has 128 divisors (see below), whose sum is σ = 143826038400000. Its totient is φ = 16242883872768.

The previous prime is 48730148781679. The next prime is 48730148781791. The reversal of 48730148781696 is 69618784103784.

48730148781696 is a `hidden beast` number, since 4 + 8 + 7 + 3 + 0 + 1 + 487 + 81 + 69 + 6 = 666.

48730148781696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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, 122312865 + ... + 122710623.

It is an arithmetic number, because the mean of its divisors is an integer number (1123640925000).

Almost surely, 248730148781696 is an apocalyptic number.

It is an amenable number.

48730148781696 is an abundant number, since it is smaller than the sum of its proper divisors (95095889618304).

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

48730148781696 is a wasteful number, since it uses less digits than its factorization.

48730148781696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433231 (or 433213 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 48730148781696 in words is "forty-eight trillion, seven hundred thirty billion, one hundred forty-eight million, seven hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 35449 70898 106347 141796 212694 283592 319041 397759 425388 567184 638082 795518 850776 957123 1134368 1193277 1276164 1591036 1701552 1914246 2268736 2386554 2552328 3182072 3403104 3579831 3828492 4537472 4773108 5104656 6364144 6806208 7159662 7656984 9546216 10209312 10739493 12728288 13612416 14319324 15313968 19092432 20418624 21478986 25456576 28638648 30627936 38184864 40837248 42957972 50913152 57277296 61255872 76369728 85915944 114554592 122511744 152739456 171831888 229109184 343663776 458218368 687327552 1374655104 14100158791 28200317582 42300476373 56400635164 84600952746 112801270328 126901429119 169201905492 225602540656 253802858238 338403810984 380704287357 451205081312 507605716476 676807621968 761408574714 902410162624 1015211432952 1353615243936 1522817149428 1804820325248 2030422865904 2707230487872 3045634298856 4060845731808 5414460975744 6091268597712 8121691463616 12182537195424 16243382927232 24365074390848 48730148781696