Search a number
-
+
54132622542 = 236197229823
BaseRepresentation
bin110010011010100011…
…100100010011001110
312011201121002011000000
4302122203210103032
51341330422410132
640511305545130
73624312461655
oct623243442316
9164647064000
1054132622542
1120a594aa589
12a5a8aa51a6
135148cb77cb
14289752819c
15161c5b587c
hexc9a8e44ce

54132622542 has 112 divisors (see below), whose sum is σ = 123044343840. Its totient is φ = 17852498496.

The previous prime is 54132622519. The next prime is 54132622559. The reversal of 54132622542 is 24522623145.

54132622542 is a `hidden beast` number, since 54 + 1 + 3 + 2 + 62 + 2 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54132622497 and 54132622506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65774343 + ... + 65775165.

Almost surely, 254132622542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54132622542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61522171920).

54132622542 is an abundant number, since it is smaller than the sum of its proper divisors (68911721298).

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

54132622542 is a wasteful number, since it uses less digits than its factorization.

54132622542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1254 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 54132622542 in words is "fifty-four billion, one hundred thirty-two million, six hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 229 243 394 458 486 591 687 729 823 1182 1374 1458 1646 1773 2061 2469 3546 4122 4938 5319 6183 7407 10638 12366 14814 15957 18549 22221 31914 37098 44442 45113 47871 55647 66663 90226 95742 111294 133326 135339 143613 162131 166941 188467 199989 270678 287226 324262 333882 376934 399978 406017 486393 565401 599967 812034 972786 1130802 1199934 1218051 1459179 1696203 2436102 2918358 3392406 3654153 4377537 5088609 7308306 8755074 10177218 10962459 13132611 15265827 21924918 26265222 30531654 32887377 37127999 39397833 45797481 65774754 74255998 78795666 91594962 111383997 118193499 137392443 222767994 236386998 274784886 334151991 668303982 1002455973 2004911946 3007367919 6014735838 9022103757 18044207514 27066311271 54132622542