Search a number
-
+
54313421022 = 2347591674861
BaseRepresentation
bin110010100101010101…
…010000100011011110
312012012012021122220000
4302211111100203132
51342213213433042
640541245035130
73631636314150
oct624525204336
9165165248800
1054313421022
1121041568113
12a639555aa6
1351775aac63
1428b354cad0
15162d3ca74c
hexca55508de

54313421022 has 160 divisors (see below), whose sum is σ = 142322019840. Its totient is φ = 15160633920.

The previous prime is 54313421003. The next prime is 54313421027. The reversal of 54313421022 is 22012431345.

54313421022 is a `hidden beast` number, since 543 + 13 + 4 + 2 + 102 + 2 = 666.

It is a super-2 number, since 2×543134210222 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54313421027) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11170872 + ... + 11175732.

It is an arithmetic number, because the mean of its divisors is an integer number (889512624).

Almost surely, 254313421022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54313421022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71161009920).

54313421022 is an abundant number, since it is smaller than the sum of its proper divisors (88008598818).

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

54313421022 is a wasteful number, since it uses less digits than its factorization.

54313421022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 54313421022 its reverse (22012431345), we get a palindrome (76325852367).

The spelling of 54313421022 in words is "fifty-four billion, three hundred thirteen million, four hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 81 118 126 162 167 177 189 334 354 378 413 501 531 567 826 1002 1062 1134 1169 1239 1503 1593 2338 2478 3006 3186 3507 3717 4509 4779 4861 7014 7434 9018 9558 9722 9853 10521 11151 13527 14583 19706 21042 22302 27054 29166 29559 31563 33453 34027 43749 59118 63126 66906 68054 68971 87498 88677 94689 102081 131247 137942 177354 189378 204162 206913 262494 266031 286799 306243 393741 413826 532062 573598 612486 620739 787482 798093 811787 860397 918729 1241478 1596186 1623574 1720794 1837458 1862217 2007593 2435361 2581191 2756187 3724434 4015186 4870722 5162382 5512374 5586651 5682509 6022779 7306083 7743573 11173302 11365018 12045558 14612166 15487146 17047527 18068337 21918249 23230719 34095054 36136674 43836498 46461438 47895433 51142581 54205011 65754747 95790866 102285162 108410022 131509494 143686299 153427743 162615033 287372598 306855486 325230066 335268031 431058897 460283229 670536062 862117794 920566458 1005804093 1293176691 2011608186 2586353382 3017412279 3879530073 6034824558 7759060146 9052236837 18104473674 27156710511 54313421022