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54344444444345 = 5117982715123763
BaseRepresentation
bin11000101101101000011010…
…10011100111111010111001
321010102021111202211200210102
430112310031103213322321
524110334410234204340
6311325254303125145
714306153665044236
oct1426641523477271
9233367452750712
1054344444444345
111635239314a8a0
1261183985a37b5
132442875124293
14d5c3dc62078d
15643955078215
hex316d0d4e7eb9

54344444444345 has 32 divisors (see below), whose sum is σ = 72129465169920. Its totient is φ = 38975749525440.

The previous prime is 54344444444249. The next prime is 54344444444347.

54344444444345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54344444444345 - 222 = 54344440250041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54344444444347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3968567 + ... + 11155196.

It is an arithmetic number, because the mean of its divisors is an integer number (2254045786560).

Almost surely, 254344444444345 is an apocalyptic number.

54344444444345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54344444444345 is a deficient number, since it is larger than the sum of its proper divisors (17785020725575).

54344444444345 is a wasteful number, since it uses less digits than its factorization.

54344444444345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15124685.

The product of its digits is 235929600, while the sum is 56.

It can be divided in two parts, 5434444 and 4444345, that added together give a palindrome (9878789).

The spelling of 54344444444345 in words is "fifty-four trillion, three hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, three hundred forty-five".

Divisors: 1 5 11 55 79 395 827 869 4135 4345 9097 45485 65333 326665 718663 3593315 15123763 75618815 166361393 831806965 1194777277 5973886385 12507352001 13142550047 62536760005 65712750235 137580872011 687904360055 988080808079 4940404040395 10868888888869 54344444444345