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54114434055 = 325113116932083
BaseRepresentation
bin110010011001011110…
…001011110000000111
312011200022212002002100
4302121132023300013
51341311243342210
640505420043143
73624002046213
oct623136136007
9164608762070
1054114434055
1120a4a207280
12a5a29934b3
1351452b9aa6
142894d51943
15161abc15c0
hexc9978bc07

54114434055 has 96 divisors (see below), whose sum is σ = 105739425792. Its totient is φ = 25363756800.

The previous prime is 54114433999. The next prime is 54114434093. The reversal of 54114434055 is 55043441145.

54114434055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54114434055 - 212 = 54114429959 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25978044 + ... + 25980126.

It is an arithmetic number, because the mean of its divisors is an integer number (1101452352).

Almost surely, 254114434055 is an apocalyptic number.

54114434055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54114434055 is a deficient number, since it is larger than the sum of its proper divisors (51624991737).

54114434055 is a wasteful number, since it uses less digits than its factorization.

54114434055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 54114434055 in words is "fifty-four billion, one hundred fourteen million, four hundred thirty-four thousand, fifty-five".

Divisors: 1 3 5 9 11 15 31 33 45 55 93 99 155 165 279 341 465 495 1023 1395 1693 1705 2083 3069 5079 5115 6249 8465 10415 15237 15345 18623 18747 22913 25395 31245 52483 55869 64573 68739 76185 93115 93735 114565 157449 167607 193719 206217 262415 279345 322865 343695 472347 577313 581157 710303 787245 838035 968595 1031085 1731939 2130909 2361735 2886565 2905785 3526519 3551515 5195817 6392727 8659695 10579557 10654545 17632595 25979085 31738671 31963635 38791709 52897785 109322089 116375127 158693355 193958545 327966267 349125381 546610445 581875635 983898801 1202542979 1639831335 1745626905 3607628937 4919494005 6012714895 10822886811 18038144685 54114434055