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54105577550144 = 268772053469541
BaseRepresentation
bin11000100110101011011111…
…01110101111000101000000
321002120102221201122012201222
430103111233232233011000
524042431210323101034
6311023431552414212
714252666435665001
oct1423255756570500
9232512851565658
1054105577550144
1116270056aa782a
12609a034547368
132426198725073
14d50a1c64b1a8
1563c62484212e
hex31356fbaf140

54105577550144 has 56 divisors (see below), whose sum is σ = 107540765017608. Its totient is φ = 27008722114560.

The previous prime is 54105577550119. The next prime is 54105577550173. The reversal of 54105577550144 is 44105577550145.

54105577550144 is digitally balanced in base 5, 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 4 ways, for example, as 2310035214400 + 51795542335744 = 1519880^2 + 7196912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114996014 + ... + 115465554.

Almost surely, 254105577550144 is an apocalyptic number.

It is an amenable number.

54105577550144 is a deficient number, since it is larger than the sum of its proper divisors (53435187467464).

54105577550144 is a wasteful number, since it uses less digits than its factorization.

54105577550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472483 (or 472473 counting only the distinct ones).

The product of its (nonzero) digits is 9800000, while the sum is 53.

Subtracting from 54105577550144 its reverse (44105577550145), we obtain a palindrome (9999999999999).

The spelling of 54105577550144 in words is "fifty-four trillion, one hundred five billion, five hundred seventy-seven million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 877 1754 2053 3508 4106 7016 8212 14032 16424 28064 32848 56128 65696 131392 469541 939082 1800481 1878164 3600962 3756328 7201924 7512656 14403848 15025312 28807696 30050624 57615392 115230784 411787457 823574914 963967673 1647149828 1927935346 3294299656 3855870692 6588599312 7711741384 13177198624 15423482768 26354397248 30846965536 61693931072 845399649221 1690799298442 3381598596884 6763197193768 13526394387536 27052788775072 54105577550144