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55461983280 = 243511157133811
BaseRepresentation
bin110011101001110010…
…101011010000110000
312022011020111200002220
4303221302223100300
51402041231431110
641251234441040
74002254036154
oct635162532060
9168136450086
1055461983280
1121580930a20
12a8ba133180
1352cb5327b2
142981ccd064
151699155370
hexce9cab430

55461983280 has 160 divisors (see below), whose sum is σ = 188758418688. Its totient is φ = 13359590400.

The previous prime is 55461983267. The next prime is 55461983281. The reversal of 55461983280 is 8238916455.

It is not an unprimeable number, because it can be changed into a prime (55461983281) 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 31 ways as a sum of consecutive naturals, for example, 347575 + ... + 481385.

Almost surely, 255461983280 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 55461983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94379209344).

55461983280 is an abundant number, since it is smaller than the sum of its proper divisors (133296435408).

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

55461983280 is a wasteful number, since it uses less digits than its factorization.

55461983280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133995 (or 133989 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 55461983280 in words is "fifty-five billion, four hundred sixty-one million, nine hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 157 165 176 220 240 264 314 330 440 471 528 628 660 785 880 942 1256 1320 1570 1727 1884 2355 2512 2640 3140 3454 3768 4710 5181 6280 6908 7536 8635 9420 10362 12560 13816 17270 18840 20724 25905 27632 34540 37680 41448 51810 69080 82896 103620 133811 138160 207240 267622 401433 414480 535244 669055 802866 1070488 1338110 1471921 1605732 2007165 2140976 2676220 2943842 3211464 4014330 4415763 5352440 5887684 6422928 7359605 8028660 8831526 10704880 11775368 14719210 16057320 17663052 21008327 22078815 23550736 29438420 32114640 35326104 42016654 44157630 58876840 63024981 70652208 84033308 88315260 105041635 117753680 126049962 168066616 176630520 210083270 231091597 252099924 315124905 336133232 353261040 420166540 462183194 504199848 630249810 693274791 840333080 924366388 1008399696 1155457985 1260499620 1386549582 1680666160 1848732776 2310915970 2520999240 2773099164 3466373955 3697465552 4621831940 5041998480 5546198328 6932747910 9243663880 11092396656 13865495820 18487327760 27730991640 55461983280