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54850730256 = 2433733154799
BaseRepresentation
bin110011000101010110…
…111011100100010000
312020120122022210121000
4303011112323210100
51344313241332011
641110441302000
73651152341320
oct630526734420
9166518283530
1054850730256
1121297897533
12a769494900
1352319c6c0a
142924a57280
151660663356
hexcc55bb910

54850730256 has 160 divisors (see below), whose sum is σ = 180480512000. Its totient is φ = 15624005760.

The previous prime is 54850730227. The next prime is 54850730273. The reversal of 54850730256 is 65203705845.

54850730256 is a `hidden beast` number, since 548 + 50 + 7 + 3 + 0 + 2 + 56 = 666.

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 31 ways as a sum of consecutive naturals, for example, 973545 + ... + 1028343.

It is an arithmetic number, because the mean of its divisors is an integer number (1128003200).

Almost surely, 254850730256 is an apocalyptic number.

54850730256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54850730256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90240256000).

54850730256 is an abundant number, since it is smaller than the sum of its proper divisors (125629781744).

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

54850730256 is a wasteful number, since it uses less digits than its factorization.

54850730256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55154 (or 55142 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 54850730256 in words is "fifty-four billion, eight hundred fifty million, seven hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 331 336 378 432 504 662 756 993 1008 1324 1512 1986 2317 2648 2979 3024 3972 4634 5296 5958 6951 7944 8937 9268 11916 13902 15888 17874 18536 20853 23832 27804 35748 37072 41706 47664 54799 55608 62559 71496 83412 109598 111216 125118 142992 164397 166824 219196 250236 328794 333648 383593 438392 493191 500472 657588 767186 876784 986382 1000944 1150779 1315176 1479573 1534372 1972764 2301558 2630352 2959146 3068744 3452337 3945528 4603116 5918292 6137488 6904674 7891056 9206232 10357011 11836584 13809348 18138469 18412464 20714022 23673168 27618696 36276938 41428044 54415407 55237392 72553876 82856088 108830814 126969283 145107752 163246221 165712176 217661628 253938566 290215504 326492442 380907849 435323256 489738663 507877132 652984884 761815698 870646512 979477326 1015754264 1142723547 1305969768 1523631396 1958954652 2031508528 2285447094 2611939536 3047262792 3428170641 3917909304 4570894188 6094525584 6856341282 7835818608 9141788376 13712682564 18283576752 27425365128 54850730256