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54200343054 = 231113611377559
BaseRepresentation
bin110010011110100101…
…111001101000001110
312011220022111201002010
4302132211321220032
51342000241434204
640522125242050
73626064212604
oct623645715016
9164808451063
1054200343054
1120a93753a50
12a607703326
13515a038910
1428a2515874
1516234e0d89
hexc9e979a0e

54200343054 has 128 divisors (see below), whose sum is σ = 130401653760. Its totient is φ = 14801587200.

The previous prime is 54200343017. The next prime is 54200343061. The reversal of 54200343054 is 45034300245.

It is a super-3 number, since 3×542003430543 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7166527 + ... + 7174085.

It is an arithmetic number, because the mean of its divisors is an integer number (1018762920).

Almost surely, 254200343054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54200343054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65200826880).

54200343054 is an abundant number, since it is smaller than the sum of its proper divisors (76201310706).

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

54200343054 is a wasteful number, since it uses less digits than its factorization.

54200343054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786.

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 54200343054 its reverse (45034300245), we get a palindrome (99234643299).

The spelling of 54200343054 in words is "fifty-four billion, two hundred million, three hundred forty-three thousand, fifty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 61 66 78 122 137 143 183 274 286 366 411 429 671 793 822 858 1342 1507 1586 1781 2013 2379 3014 3562 4026 4521 4758 5343 7559 8357 8723 9042 10686 15118 16714 17446 19591 22677 25071 26169 39182 45354 50142 52338 58773 83149 91927 98267 108641 117546 166298 183854 196534 217282 249447 275781 294801 325923 461099 498894 551562 589602 651846 922198 1035583 1080937 1195051 1383297 2071166 2161874 2390102 2766594 3106749 3242811 3585153 5072089 5994287 6213498 6485622 7170306 10144178 11391413 11988574 13462579 15216267 17982861 22782826 26925158 30432534 34174239 35965722 40387737 63170563 65937157 68348478 80775474 126341126 131874314 148088369 189511689 197811471 296176738 379023378 395622942 444265107 694876193 821217319 888530214 1389752386 1642434638 2084628579 2463651957 4169257158 4927303914 9033390509 18066781018 27100171527 54200343054