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55652726426100 = 223521279371558913
BaseRepresentation
bin11001010011101101010001…
…11111010100100111110100
321022001100102012012102011120
430221312220333110213310
524243303240431113400
6314210302022303540
714502530304312216
oct1451665077244764
9238040365172146
1055652726426100
1116807209227501
1262a9a55587bb0
13250904ccc122b
14da586bab65b6
156679c60e8ca0
hex329da8fd49f4

55652726426100 has 144 divisors (see below), whose sum is σ = 162463083030528. Its totient is φ = 14708147650560.

The previous prime is 55652726426093. The next prime is 55652726426131. The reversal of 55652726426100 is 162462725655.

It is a super-2 number, since 2×556527264261002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34920244 + ... + 36479156.

Almost surely, 255652726426100 is an apocalyptic number.

55652726426100 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 55652726426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81231541515264).

55652726426100 is an abundant number, since it is smaller than the sum of its proper divisors (106810356604428).

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

55652726426100 is a wasteful number, since it uses less digits than its factorization.

55652726426100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559994 (or 1559987 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 55652726426100 in words is "fifty-five trillion, six hundred fifty-two billion, seven hundred twenty-six million, four hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 937 1270 1524 1874 1905 2540 2811 3175 3748 3810 4685 5622 6350 7620 9370 9525 11244 12700 14055 18740 19050 23425 28110 38100 46850 56220 70275 93700 118999 140550 237998 281100 356997 475996 594995 713994 1189990 1427988 1558913 1784985 2379980 2974975 3117826 3569970 4676739 5949950 6235652 7139940 7794565 8924925 9353478 11899900 15589130 17849850 18706956 23383695 31178260 35699700 38972825 46767390 77945650 93534780 116918475 155891300 197981951 233836950 395963902 467673900 593945853 791927804 989909755 1187891706 1460701481 1979819510 2375783412 2921402962 2969729265 3959639020 4382104443 4949548775 5842805924 5939458530 7303507405 8764208886 9899097550 11878917060 14607014810 14848646325 17528417772 19798195100 21910522215 29214029620 29697292650 36517537025 43821044430 59394585300 73035074050 87642088860 109552611075 146070148100 185509088087 219105222150 371018176174 438210444300 556527264261 742036352348 927545440435 1113054528522 1855090880870 2226109057044 2782636321305 3710181761740 4637727202175 5565272642610 9275454404350 11130545285220 13913181606525 18550908808700 27826363213050 55652726426100