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54336451105461 = 3717236740216067
BaseRepresentation
bin11000101101011001100001…
…10111011101001010110101
321010101111212200222000020010
430112230300313131022311
524110222022440333321
6311321453202130433
714305451624556240
oct1426546067351265
9233344780860203
1054336451105461
1116349a61111aa8
126116927650a19
132441ba00a4065
14d5bc80bac257
15643638446676
hex316b30ddd2b5

54336451105461 has 96 divisors (see below), whose sum is σ = 88231530115072. Its totient is φ = 29131288519680.

The previous prime is 54336451105459. The next prime is 54336451105481. The reversal of 54336451105461 is 16450115463345.

It is not a de Polignac number, because 54336451105461 - 21 = 54336451105459 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54336451105461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54336451105411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8956062750 + ... + 8956068816.

Almost surely, 254336451105461 is an apocalyptic number.

54336451105461 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54336451105461 is a deficient number, since it is larger than the sum of its proper divisors (33895079009611).

54336451105461 is a wasteful number, since it uses less digits than its factorization.

54336451105461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 54336451105461 in words is "fifty-four trillion, three hundred thirty-six billion, four hundred fifty-one million, one hundred five thousand, four hundred sixty-one".

Divisors: 1 3 7 17 21 51 119 289 357 367 867 1101 2023 2569 4021 6067 6069 6239 7707 12063 18201 18717 28147 42469 43673 68357 84441 103139 106063 127407 131019 205071 309417 318189 478499 721973 742441 1162069 1435497 1475707 1753363 2165919 2226589 2227323 3486207 4427121 5260089 6679767 8134483 10329949 12273541 15586123 24395407 24403449 25087019 30989847 36820623 37852013 46758369 73186221 75261057 113556039 170767849 175609133 264964091 414721919 426479323 512303547 526827399 643484221 794892273 1244165757 1279437969 1930452663 2903053433 2985355261 4504389547 7050272623 8709160299 8953114369 8956065783 13513168641 21150817869 26859343107 49351908361 62671800583 148055725083 152202944273 188015401749 456608832819 1065420609911 2587450052641 3196261829733 7762350157923 18112150368487 54336451105461