Search a number
-
+
54305060321064 = 23373592926930763
BaseRepresentation
bin11000101100011111000011…
…10101000111011100101000
321010021111212000122221022210
430112033201311013130220
524104213230420233224
6311255222244445120
714303261006366340
oct1426174165073450
9233244760587283
1054305060321064
1116337712904083
1261108269a97a0
13243bc39839017
14d5a543b6dd20
156428ec698429
hex3163e1d47728

54305060321064 has 128 divisors (see below), whose sum is σ = 155599881984000. Its totient is φ = 15471480639744.

The previous prime is 54305060321063. The next prime is 54305060321087. The reversal of 54305060321064 is 46012306050345.

54305060321064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54305060321063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1765256547 + ... + 1765287309.

It is an arithmetic number, because the mean of its divisors is an integer number (1215624078000).

Almost surely, 254305060321064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54305060321064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77799940992000).

54305060321064 is an abundant number, since it is smaller than the sum of its proper divisors (101294821662936).

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

54305060321064 is a wasteful number, since it uses less digits than its factorization.

54305060321064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60407 (or 60403 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 54305060321064 in words is "fifty-four trillion, three hundred five billion, sixty million, three hundred twenty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 359 718 1077 1436 2154 2513 2872 4308 5026 7539 8616 10052 15078 20104 29269 30156 30763 58538 60312 61526 87807 92289 117076 123052 175614 184578 204883 215341 234152 246104 351228 369156 409766 430682 614649 646023 702456 738312 819532 861364 1229298 1292046 1639064 1722728 2458596 2584092 4917192 5168184 10507571 11043917 21015142 22087834 31522713 33131751 42030284 44175668 63045426 66263502 73552997 77307419 84060568 88351336 126090852 132527004 147105994 154614838 220658991 231922257 252181704 265054008 294211988 309229676 441317982 463844514 588423976 618459352 882635964 900402247 927689028 1765271928 1800804494 1855378056 2701206741 3601608988 5402413482 6302815729 7203217976 10804826964 12605631458 18908447187 21609653928 25211262916 37816894374 50422525832 75633788748 151267577496 323244406673 646488813346 969733220019 1292977626692 1939466440038 2262710846711 2585955253384 3878932880076 4525421693422 6788132540133 7757865760152 9050843386844 13576265080266 18101686773688 27152530160532 54305060321064