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55346372430500 = 2253176779617929
BaseRepresentation
bin11001001010110010101001…
…10111100100101010100100
321020222001122212002222002002
430211121110313210222210
524223243332320234000
6313413434505104432
714441433463313204
oct1445312467445244
9236861585088062
1055346372430500
11166a92a03a6278
12625a5b8188118
1324b61a9971b18
14d94ac8b38404
1565ea45bc98d5
hex325654de4aa4

55346372430500 has 96 divisors (see below), whose sum is σ = 128175921750240. Its totient is φ = 20805501849600.

The previous prime is 55346372430467. The next prime is 55346372430527. The reversal of 55346372430500 is 503427364355.

It can be written as a sum of positive squares in 16 ways, for example, as 19087741578304 + 36258630852196 = 4368952^2 + 6021514^2 .

It is a super-2 number, since 2×553463724305002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945536 + ... + 10563464.

It is an arithmetic number, because the mean of its divisors is an integer number (1335165851565).

Almost surely, 255346372430500 is an apocalyptic number.

55346372430500 is a gapful number since it is divisible by the number (50) 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 55346372430500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64087960875120).

55346372430500 is an abundant number, since it is smaller than the sum of its proper divisors (72829549319740).

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

55346372430500 is a wasteful number, since it uses less digits than its factorization.

55346372430500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9618642 (or 9618630 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 47.

Adding to 55346372430500 its reverse (503427364355), we get a palindrome (55849799794855).

The spelling of 55346372430500 in words is "fifty-five trillion, three hundred forty-six billion, three hundred seventy-two million, four hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 677 850 1354 1700 2125 2708 3385 4250 6770 8500 11509 13540 16925 23018 33850 46036 57545 67700 84625 115090 169250 230180 287725 338500 575450 1150900 1438625 2877250 5754500 9617929 19235858 38471716 48089645 96179290 163504793 192358580 240448225 327009586 480896450 654019172 817523965 961792900 1202241125 1635047930 2404482250 3270095860 4087619825 4808964500 6511337933 8175239650 13022675866 16350479300 20438099125 26045351732 32556689665 40876198250 65113379330 81752396500 110692744861 130226758660 162783448325 221385489722 325566896650 442770979444 553463724305 651133793300 813917241625 1106927448610 1627834483250 2213854897220 2767318621525 3255668966500 5534637243050 11069274486100 13836593107625 27673186215250 55346372430500