Search a number
-
+
54103060377105 = 357313922557279
BaseRepresentation
bin11000100110100110110011…
…01100011110111000010001
321002120012110022010120110220
430103103121230132320101
524042411031424031410
6311022334112543253
714252550162243045
oct1423233154367021
9232505408116426
1054103060377105
1116269a85134433
126099651551b29
132425b8709216c
14d5086020a025
1563c528873070
hex3134d9b1ee11

54103060377105 has 48 divisors (see below), whose sum is σ = 88386593518080. Its totient is φ = 28254934999296.

The previous prime is 54103060377077. The next prime is 54103060377161. The reversal of 54103060377105 is 50177306030145.

54103060377105 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 54103060377105 - 25 = 54103060377073 is a prime.

It is a super-2 number, since 2×541030603771052 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19877856 + ... + 22435134.

It is an arithmetic number, because the mean of its divisors is an integer number (1841387364960).

Almost surely, 254103060377105 is an apocalyptic number.

It is an amenable number.

54103060377105 is a deficient number, since it is larger than the sum of its proper divisors (34283533140975).

54103060377105 is a wasteful number, since it uses less digits than its factorization.

54103060377105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557638 (or 2557499 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 54103060377105 in words is "fifty-four trillion, one hundred three billion, sixty million, three hundred seventy-seven thousand, one hundred five".

Divisors: 1 3 5 15 73 139 219 365 417 695 1095 2085 10147 19321 30441 50735 57963 96605 152205 289815 1410433 2557279 4231299 7052165 7671837 12786395 21156495 38359185 186681367 355461781 560044101 933406835 1066385343 1777308905 2800220505 5331926715 25948710013 49409187559 77846130039 129743550065 148227562677 247045937795 389230650195 741137813385 3606870691807 10820612075421 18034353459035 54103060377105