Search a number
-
+
54283752720 = 24335109230563
BaseRepresentation
bin110010100011100100…
…000101010100010000
312012010010110100122000
4302203210011110100
51342133120041340
640534305114000
73631126166511
oct624344052420
9165103410560
1054283752720
112102684395a
12a62b628900
1351713c0c52
1428ad628a08
15162a9b9d30
hexca3905510

54283752720 has 160 divisors (see below), whose sum is σ = 188693577600. Its totient is φ = 14342800896.

The previous prime is 54283752713. The next prime is 54283752751. The reversal of 54283752720 is 2725738245.

54283752720 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 375 + 272 + 0 = 666.

It is a super-2 number, since 2×542837527202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120159 + ... + 350721.

It is an arithmetic number, because the mean of its divisors is an integer number (1179334860).

Almost surely, 254283752720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54283752720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94346788800).

54283752720 is an abundant number, since it is smaller than the sum of its proper divisors (134409824880).

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

54283752720 is a wasteful number, since it uses less digits than its factorization.

54283752720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230694 (or 230682 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 54283752720 in words is "fifty-four billion, two hundred eighty-three million, seven hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 109 120 135 144 180 216 218 240 270 327 360 432 436 540 545 654 720 872 981 1080 1090 1308 1635 1744 1962 2160 2180 2616 2943 3270 3924 4360 4905 5232 5886 6540 7848 8720 9810 11772 13080 14715 15696 19620 23544 26160 29430 39240 47088 58860 78480 117720 230563 235440 461126 691689 922252 1152815 1383378 1844504 2075067 2305630 2766756 3458445 3689008 4150134 4611260 5533512 6225201 6916890 8300268 9222520 10375335 11067024 12450402 13833780 16600536 18445040 20750670 24900804 25131367 27667560 31126005 33201072 41501340 49801608 50262734 55335120 62252010 75394101 83002680 99603216 100525468 124504020 125656835 150788202 166005360 201050936 226182303 249008040 251313670 301576404 376970505 402101872 452364606 498016080 502627340 603152808 678546909 753941010 904729212 1005254680 1130911515 1206305616 1357093818 1507882020 1809458424 2010509360 2261823030 2714187636 3015764040 3392734545 3618916848 4523646060 5428375272 6031528080 6785469090 9047292120 10856750544 13570938180 18094584240 27141876360 54283752720