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55341544554010 = 25112134185810157
BaseRepresentation
bin11001001010101001101010…
…00110101011111000011010
321020221121012101121102120201
430211110311012223320122
524223203440401212020
6313411315443012414
714441203031120431
oct1445246506537032
9236847171542521
1055341544554010
11166a7243171200
12625968b36a10a
1324b58ba689c80
14d9478b880118
1565e861e22a0a
hex3255351abe1a

55341544554010 has 96 divisors (see below), whose sum is σ = 120792556732176. Its totient is φ = 18123104947200.

The previous prime is 55341544553947. The next prime is 55341544554011. The reversal of 55341544554010 is 1045544514355.

55341544554010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 760197403449 + 54581347150561 = 871893^2 + 7387919^2 .

It is a super-3 number, since 3×553415445540103 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (55341544554011) 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 47 ways as a sum of consecutive naturals, for example, 42260149 + ... + 43550008.

Almost surely, 255341544554010 is an apocalyptic number.

55341544554010 is an abundant number, since it is smaller than the sum of its proper divisors (65451012178166).

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

55341544554010 is a wasteful number, since it uses less digits than its factorization.

55341544554010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85810240 (or 85810229 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 46.

The spelling of 55341544554010 in words is "fifty-five trillion, three hundred forty-one billion, five hundred forty-four million, five hundred fifty-four thousand, ten".

Divisors: 1 2 5 10 11 13 22 26 41 55 65 82 110 121 130 143 205 242 286 410 451 533 605 715 902 1066 1210 1430 1573 2255 2665 3146 4510 4961 5330 5863 7865 9922 11726 15730 24805 29315 49610 58630 64493 128986 322465 644930 85810157 171620314 429050785 858101570 943911727 1115532041 1887823454 2231064082 3518216437 4719558635 5577660205 7036432874 9439117270 10383028997 11155320410 12270852451 17591082185 20766057994 24541704902 35182164370 38700380807 45736813681 51915144985 61354262255 77400761614 91473627362 103830289970 122708524510 134979376961 193501904035 228684068405 269958753922 387003808070 425704188877 457368136810 503104950491 674896884805 851408377754 1006209900982 1349793769610 2128520944385 2515524752455 4257041888770 5031049504910 5534154455401 11068308910802 27670772277005 55341544554010