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54145565982312 = 23371990533187367
BaseRepresentation
bin11000100111110101111110…
…01110011111111001101000
321002201021011120221001011020
430103322333032133321220
524044110104342413222
6311054043555332440
714255613413026230
oct1423727716377150
9232637146831136
1054145565982312
1116286007474782
1260a59345b1120
132429b9c28724c
14d52933486cc0
1563d6b52e165c
hex313ebf39fe68

54145565982312 has 128 divisors (see below), whose sum is σ = 162846475315200. Its totient is φ = 14655702567168.

The previous prime is 54145565982271. The next prime is 54145565982383. The reversal of 54145565982312 is 21328956554145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288887653 + ... + 289075019.

It is an arithmetic number, because the mean of its divisors is an integer number (1272238088400).

Almost surely, 254145565982312 is an apocalyptic number.

It is an amenable number.

54145565982312 is an abundant number, since it is smaller than the sum of its proper divisors (108700909332888).

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

54145565982312 is a wasteful number, since it uses less digits than its factorization.

54145565982312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277935 (or 277931 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 60.

The spelling of 54145565982312 in words is "fifty-four trillion, one hundred forty-five billion, five hundred sixty-five million, nine hundred eighty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 90533 181066 187367 271599 362132 374734 543198 562101 633731 724264 749468 1086396 1124202 1267462 1311569 1498936 1720127 1901193 2172792 2248404 2534924 2623138 3440254 3559973 3802386 3934707 4496808 5069848 5160381 5246276 6880508 7119946 7604772 7869414 10320762 10492552 10679919 12040889 13761016 14239892 15209544 15738828 20641524 21359838 24081778 24919811 28479784 31477656 36122667 41283048 42719676 48163556 49839622 72245334 74759433 85439352 96327112 99679244 144490668 149518866 199358488 288981336 299037732 598075464 16962896611 33925793222 50888689833 67851586444 101777379666 118740276277 135703172888 203554759332 237480552554 322295035609 356220828831 407109518664 474961105108 644590071218 712441657662 949922210216 966885106827 1289180142436 1424883315324 1933770213654 2256065249263 2578360284872 2849766630648 3867540427308 4512130498526 6768195747789 7735080854616 9024260997052 13536391495578 18048521994104 27072782991156 54145565982312