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6454342434546 = 23383103113123727
BaseRepresentation
bin101110111101100010011…
…0010011011111011110010
3211212000210012222121212000
41131323010302123323302
51321221443130401141
621421030050114430
71234211423326026
oct135730462337362
924760705877760
106454342434546
1120692a9049186
12882a8a27ba16
1337a846297046
1418456b2d4386
15b2d5b58d5b6
hex5dec4c9bef2

6454342434546 has 128 divisors (see below), whose sum is σ = 14786545213440. Its totient is φ = 2086246036224.

The previous prime is 6454342434541. The next prime is 6454342434601.

6454342434546 is a `hidden beast` number, since 6 + 4 + 5 + 43 + 4 + 24 + 34 + 546 = 666.

6454342434546 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64543424345462 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6454342434492 and 6454342434501.

It is not an unprimeable number, because it can be changed into a prime (6454342434541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52104135 + ... + 52227861.

It is an arithmetic number, because the mean of its divisors is an integer number (115519884480).

Almost surely, 26454342434546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6454342434546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393272606720).

6454342434546 is an abundant number, since it is smaller than the sum of its proper divisors (8332202778894).

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

6454342434546 is a wasteful number, since it uses less digits than its factorization.

6454342434546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124037 (or 124031 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 54.

The spelling of 6454342434546 in words is "six trillion, four hundred fifty-four billion, three hundred forty-two million, four hundred thirty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 83 103 113 166 206 226 249 309 339 498 618 678 747 927 1017 1494 1854 2034 2241 2781 3051 4482 5562 6102 8549 9379 11639 17098 18758 23278 25647 28137 34917 51294 56274 69834 76941 84411 104751 123727 153882 168822 209502 230823 247454 253233 314253 371181 461646 506466 628506 742362 966037 1113543 1932074 2227086 2898111 3340629 5796222 6681258 8694333 10269341 12743881 13981151 17388666 20538682 25487762 26082999 27962302 30808023 38231643 41943453 52165998 61616046 76463286 83886906 92424069 114694929 125830359 184848138 229389858 251660718 277272207 344084787 377491077 554544414 688169574 754982154 1057742123 1160435533 1440058553 2115484246 2320871066 2880117106 3173226369 3481306599 4320175659 6346452738 6962613198 8640351318 9519679107 10443919797 12960526977 19039358214 20887839594 25921053954 28559037321 31331759391 38881580931 57118074642 62663518782 77763161862 119524859899 239049719798 358574579697 717149159394 1075723739091 2151447478182 3227171217273 6454342434546