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54546451056 = 243617275087
BaseRepresentation
bin110010110011001110…
…001100101001110000
312012210102202211000000
4302303032030221300
51343202342413211
641020331430000
73640466120046
oct626316145160
9165712684000
1054546451056
1121151060019
12a6a35b5300
1351b395b456
1428d648c396
151643aab656
hexcb338ca70

54546451056 has 140 divisors (see below), whose sum is σ = 167774520672. Its totient is φ = 17112549888.

The previous prime is 54546451051. The next prime is 54546451061. The reversal of 54546451056 is 65015464545.

54546451056 is a `hidden beast` number, since 5 + 4 + 546 + 4 + 51 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (54546451051) and next prime (54546451061).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54546451051) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 60745 + ... + 335831.

Almost surely, 254546451056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54546451056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83887260336).

54546451056 is an abundant number, since it is smaller than the sum of its proper divisors (113228069616).

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

54546451056 is a wasteful number, since it uses less digits than its factorization.

54546451056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275130 (or 275109 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 54546451056 in words is "fifty-four billion, five hundred forty-six million, four hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 729 816 918 972 1224 1296 1377 1458 1836 1944 2448 2754 2916 3672 3888 4131 5508 5832 7344 8262 11016 11664 12393 16524 22032 24786 33048 49572 66096 99144 198288 275087 550174 825261 1100348 1650522 2200696 2475783 3301044 4401392 4676479 4951566 6602088 7427349 9352958 9903132 13204176 14029437 14854698 18705916 19806264 22282047 28058874 29709396 37411832 39612528 42088311 44564094 56117748 59418792 66846141 74823664 84176622 89128188 112235496 118837584 126264933 133692282 168353244 178256376 200538423 224470992 252529866 267384564 336706488 356512752 378794799 401076846 505059732 534769128 673412976 757589598 802153692 1010119464 1069538256 1136384397 1515179196 1604307384 2020238928 2272768794 3030358392 3208614768 3409153191 4545537588 6060716784 6818306382 9091075176 13636612764 18182150352 27273225528 54546451056