Search a number
-
+
54030307189959 = 336173210956477
BaseRepresentation
bin11000100100011111010010…
…10001000110010011000111
321002022020200000011201212000
430102033221101012103013
524040213032120034314
6310525102551400343
714244363244326522
oct1422175121062307
9232266600151760
1054030307189959
1116241140929091
1260875286830b3
13241c06142b0b9
14d4b11bab7bb9
1563a6bb6c3209
hex3123e94464c7

54030307189959 has 96 divisors (see below), whose sum is σ = 83245092955200. Its totient is φ = 34623167523840.

The previous prime is 54030307189939. The next prime is 54030307189979. The reversal of 54030307189959 is 95998170303045.

54030307189959 is a `hidden beast` number, since 5 + 403 + 0 + 30 + 71 + 89 + 9 + 59 = 666.

It is an interprime number because it is at equal distance from previous prime (54030307189939) and next prime (54030307189979).

It is not a de Polignac number, because 54030307189959 - 211 = 54030307187911 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54030307189896 and 54030307189905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54030307189939) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 956649829 + ... + 956706305.

It is an arithmetic number, because the mean of its divisors is an integer number (867136384950).

Almost surely, 254030307189959 is an apocalyptic number.

54030307189959 is a deficient number, since it is larger than the sum of its proper divisors (29214785765241).

54030307189959 is a wasteful number, since it uses less digits than its factorization.

54030307189959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56802 (or 56723 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 54030307189959 in words is "fifty-four trillion, thirty billion, three hundred seven million, one hundred eighty-nine thousand, nine hundred fifty-nine".

Divisors: 1 3 9 27 61 73 109 183 219 327 549 657 981 1647 1971 2943 4453 5329 6649 7957 13359 15987 19947 23871 40077 47961 56477 59841 71613 120231 143883 169431 179523 214839 325069 485377 508293 580861 975207 1456131 1524879 1742583 2925621 3445097 4122821 4368393 5227749 6155993 8776863 10335291 12368463 13105179 15683247 18467979 31005873 35432521 37105389 55403937 93017619 106297563 111316167 166211811 251492081 300965933 318892689 375515573 449387489 754476243 902897799 956678067 1126546719 1348162467 2263428729 2708693397 3379640157 4044487401 6790286187 8126080191 10138920471 12133462203 18358921913 27412636829 32805286697 55076765739 82237910487 98415860091 165230297217 246713731461 295247580273 495690891651 740141194383 885742740819 2001122488517 6003367465551 18010102396653 54030307189959