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56801732854950 = 232522292221248179
BaseRepresentation
bin11001110101001001011110…
…00111000000010010100110
321110010012012102111201010200
430322210233013000102212
524421114422102324300
6320450204505531330
714651534614645506
oct1472445707002246
9243105172451120
1056801732854950
111710a530418866
1264546814a3b46
1325904c3a402a5
14100530b957a06
156878240cd200
hex33a92f1c04a6

56801732854950 has 144 divisors (see below), whose sum is σ = 153343358797200. Its totient is φ = 15074133177600.

The previous prime is 56801732854949. The next prime is 56801732854963. The reversal of 56801732854950 is 5945823710865.

56801732854950 is a `hidden beast` number, since 5 + 6 + 8 + 0 + 1 + 7 + 32 + 8 + 549 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228749961 + ... + 228998139.

It is a 1-persistent number, because it is pandigital, but 2⋅56801732854950 = 113603465709900 is not.

Almost surely, 256801732854950 is an apocalyptic number.

56801732854950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56801732854950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76671679398600).

56801732854950 is an abundant number, since it is smaller than the sum of its proper divisors (96541625942250).

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

56801732854950 is a wasteful number, since it uses less digits than its factorization.

56801732854950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250647 (or 250639 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 56801732854950 in words is "fifty-six trillion, eight hundred one billion, seven hundred thirty-two million, eight hundred fifty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 229 450 458 687 1145 1374 2061 2221 2290 3435 4122 4442 5725 6663 6870 10305 11105 11450 13326 17175 19989 20610 22210 33315 34350 39978 51525 55525 66630 99945 103050 111050 166575 199890 248179 333150 496358 499725 508609 744537 999450 1017218 1240895 1489074 1525827 2233611 2481790 2543045 3051654 3722685 4467222 4577481 5086090 6204475 7445370 7629135 9154962 11168055 12408950 12715225 15258270 18613425 22336110 22887405 25430450 37226850 38145675 45774810 55840275 56832991 76291350 111680550 113665982 114437025 170498973 228874050 284164955 340997946 511496919 551205559 568329910 852494865 1022993838 1102411118 1420824775 1653616677 1704989730 2557484595 2756027795 2841649550 3307233354 4262474325 4960850031 5114969190 5512055590 8268083385 8524948650 9921700062 12787422975 13780138975 16536166770 24804250155 25574845950 27560277950 41340416925 49608500310 82680833850 124021250775 126226073011 248042501550 252452146022 378678219033 631130365055 757356438066 1136034657099 1262260730110 1893391095165 2272069314198 3155651825275 3786782190330 5680173285495 6311303650550 9466955475825 11360346570990 18933910951650 28400866427475 56801732854950