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54613422431645 = 57111759672110877
BaseRepresentation
bin11000110101011101011011…
…01001001101110110011101
321011100222210022101012022012
430122232231221031312131
524124241242120303040
6312053020535001005
714334455343156110
oct1432565551156635
9234328708335265
1054613422431645
1116446471214870
126160544809165
13246203cc1434c
14d6b4376ba577
1564a94902e865
hex31abada4dd9d

54613422431645 has 128 divisors (see below), whose sum is σ = 89293179064320. Its totient is φ = 31028863979520.

The previous prime is 54613422431639. The next prime is 54613422431677.

54613422431645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54613422431645 - 28 = 54613422431389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54613422431593 and 54613422431602.

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, 24816947 + ... + 26927823.

It is an arithmetic number, because the mean of its divisors is an integer number (697602961440).

Almost surely, 254613422431645 is an apocalyptic number.

54613422431645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54613422431645 is a deficient number, since it is larger than the sum of its proper divisors (34679756632675).

54613422431645 is a wasteful number, since it uses less digits than its factorization.

54613422431645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111043.

The product of its digits is 8294400, while the sum is 50.

It can be divided in two parts, 5461342 and 2431645, that added together give a palindrome (7892987).

The spelling of 54613422431645 in words is "fifty-four trillion, six hundred thirteen billion, four hundred twenty-two million, four hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 5 7 11 17 35 55 59 67 77 85 119 187 295 335 385 413 469 595 649 737 935 1003 1139 1309 2065 2345 3245 3685 3953 4543 5015 5159 5695 6545 7021 7973 11033 12529 19765 22715 25795 27671 35105 39865 43483 55165 62645 67201 77231 87703 138355 217415 304381 336005 386155 438515 470407 739211 1521905 2110877 2352035 3696055 5174477 10554385 14776139 23219647 25872385 35884909 73880695 116098235 124541743 141428759 162537529 179424545 251194363 394733999 622708715 707143795 812687645 871792201 990001313 1255971815 1369959173 1555716349 1973669995 2117209631 2404288903 2763137993 4358961005 4950006565 6849795865 7778581745 8344296781 9589714211 10586048155 10890014443 12021444515 13815689965 14820467417 16830022321 23289305941 26447177933 41721483905 47948571055 54450072215 58410077467 74102337085 84150111605 91787264591 116446529705 132235889665 141853045277 163025141587 185130245531 292050387335 458936322955 642510852137 709265226385 815125707935 925651227655 992971316939 1560383498047 3212554260685 4964856584695 7801917490235 10922684486329 54613422431645