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54444433444445 = 51129312399914649
BaseRepresentation
bin11000110000100010101010…
…00111011000111001011101
321010202211121011210012000102
430120101111013120321131
524114004144430210240
6311443232154310445
714316323546400122
oct1430212507307135
9233684534705012
1054444433444445
1116390833352570
126133842728425
13244c11b581cb5
14d631a601a749
1564635833d815
hex3184551d8e5d

54444433444445 has 128 divisors (see below), whose sum is σ = 76520816640000. Its totient is φ = 36797435136000.

The previous prime is 54444433444417. The next prime is 54444433444451.

54444433444445 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-54444433444445 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11710996481 + ... + 11711001129.

It is an arithmetic number, because the mean of its divisors is an integer number (597818880000).

Almost surely, 254444433444445 is an apocalyptic number.

54444433444445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54444433444445 is a deficient number, since it is larger than the sum of its proper divisors (22076383195555).

54444433444445 is a wasteful number, since it uses less digits than its factorization.

54444433444445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955.

The product of its digits is 235929600, while the sum is 56.

It can be divided in two parts, 5444443 and 3444445, that added together give a palindrome (8888888).

The spelling of 54444433444445 in words is "fifty-four trillion, four hundred forty-four billion, four hundred thirty-three million, four hundred forty-four thousand, four hundred forty-five".

Divisors: 1 5 11 29 31 55 145 155 239 319 341 899 991 1195 1595 1705 2629 4495 4649 4955 6931 7409 9889 10901 13145 23245 28739 30721 34655 37045 49445 51139 54505 76241 81499 134821 143695 144119 153605 214861 236849 255695 316129 337931 381205 407495 674105 720595 890909 1074305 1111111 1184245 1483031 1580645 1585309 1689655 2363471 2605339 4179451 4454545 4607159 5555555 6868621 7342319 7415155 7926545 9799999 11817355 12222221 13026695 20897255 23035795 32222219 34343105 34444441 36711595 45973961 48999995 50678749 61111105 75554831 80765509 133607611 142821929 161111095 172222205 212927251 229869805 253393745 354444409 377774155 378888851 403827545 668038055 714109645 998888789 1064636255 1101111001 1469683721 1571041219 1772222045 1894444255 2342199761 4141835941 4994443945 5505555005 7348418605 7855206095 10987776679 11710998805 12112221011 20709179705 31932219029 34134441031 45560195351 54938883395 60561105055 159661095145 170672205155 227800976755 351254409319 375478851341 989898789899 1756272046595 1877394256705 4949493949495 10888886688889 54444433444445