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53581284387480 = 23352951871296831
BaseRepresentation
bin11000010111011010111010…
…11011000010101010011000
321000201022122211112222020010
430023231131123002222120
524010333432300344410
6305542522514401520
714200056114433233
oct1413553533025230
9230638584488203
1053581284387480
11160887711a26a3
1260144b38902a0
1323b8902635335
14d334c2cb841a
1562db8b10ec20
hex30bb5d6c2a98

53581284387480 has 128 divisors (see below), whose sum is σ = 166290510643200. Its totient is φ = 13795328601600.

The previous prime is 53581284387427. The next prime is 53581284387481. The reversal of 53581284387480 is 8478348218535.

53581284387480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×535812843874802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53581284387481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 180362665 + ... + 180659495.

It is an arithmetic number, because the mean of its divisors is an integer number (1299144614400).

Almost surely, 253581284387480 is an apocalyptic number.

It is an amenable number.

53581284387480 is an abundant number, since it is smaller than the sum of its proper divisors (112709226255720).

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

53581284387480 is a wasteful number, since it uses less digits than its factorization.

53581284387480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348745 (or 348741 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 66.

The spelling of 53581284387480 in words is "fifty-three trillion, five hundred eighty-one billion, two hundred eighty-four million, three hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 51871 103742 155613 207484 259355 296831 311226 414968 518710 593662 622452 778065 890493 1037420 1187324 1244904 1484155 1504259 1556130 1780986 2074840 2374648 2968310 3008518 3112260 3561972 4452465 4512777 5936620 6017036 6224520 7123944 7521295 8608099 8904930 9025554 11873240 12034072 15042590 17216198 17809860 18051108 22563885 25824297 30085180 34432396 35619720 36102216 43040495 45127770 51648594 60170360 68864792 86080990 90255540 103297188 129121485 172161980 180511080 206594376 258242970 344323960 516485940 1032971880 15396920801 30793841602 46190762403 61587683204 76984604005 92381524806 123175366408 153969208010 184763049612 230953812015 307938416020 369526099224 446510703229 461907624030 615876832040 893021406458 923815248060 1339532109687 1786042812916 1847630496120 2232553516145 2679064219374 3572085625832 4465107032290 5358128438748 6697660548435 8930214064580 10716256877496 13395321096870 17860428129160 26790642193740 53581284387480