Search a number
-
+
54873453493000 = 2353318527207589
BaseRepresentation
bin11000111101000001110001…
…01100111111101100001000
321012021211222022200202201101
430132200320230333230020
524143021313043234000
6312412303323031144
714362322221546522
oct1436407054775410
9235254868622641
1054873453493000
1116536778a4896a
1261a2a1466b4b4
1324807102477ac
14d79c64418a12
156525b77dee6a
hex31e838b3fb08

54873453493000 has 128 divisors (see below), whose sum is σ = 132562124697600. Its totient is φ = 21238743456000.

The previous prime is 54873453492959. The next prime is 54873453493037. The reversal of 54873453493000 is 39435437845.

It is a happy number.

54873453493000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×548734534930002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264233206 + ... + 264440794.

It is an arithmetic number, because the mean of its divisors is an integer number (1035641599200).

Almost surely, 254873453493000 is an apocalyptic number.

54873453493000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54873453493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66281062348800).

54873453493000 is an abundant number, since it is smaller than the sum of its proper divisors (77688671204600).

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

54873453493000 is a wasteful number, since it uses less digits than its factorization.

54873453493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216168 (or 216154 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 54873453493000 in words is "fifty-four trillion, eight hundred seventy-three billion, four hundred fifty-three million, four hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 8527 15500 17054 31000 34108 42635 68216 85270 170540 207589 213175 264337 341080 415178 426350 528674 830356 852700 1037945 1057348 1065875 1321685 1660712 1705400 2075890 2114696 2131750 2643370 4151780 4263500 5189725 5286740 6435259 6608425 8303560 8527000 10379450 10573480 12870518 13216850 20758900 25741036 25948625 26433700 32176295 33042125 41517800 51482072 51897250 52867400 64352590 66084250 103794500 128705180 132168500 160881475 207589000 257410360 264337000 321762950 643525900 804407375 1287051800 1608814750 1770111403 3217629500 3540222806 6435259000 7080445612 8850557015 14160891224 17701114030 35402228060 44252785075 54873453493 70804456120 88505570150 109746906986 177011140300 219493813972 221263925375 274367267465 354022280600 438987627944 442527850750 548734534930 885055701500 1097469069860 1371836337325 1770111403000 2194938139720 2743672674650 5487345349300 6859181686625 10974690698600 13718363373250 27436726746500 54873453493000