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54720130560 = 293559120763
BaseRepresentation
bin110010111101100100…
…101110111000000000
312020020112120122111020
4302331210232320000
51344031323134220
641045454145440
73645005302224
oct627544567000
9166215518436
1054720130560
11212300a5aa7
12a7317b2280
13521092b4a4
14291157c784
151653e67040
hexcbd92ee00

54720130560 has 160 divisors (see below), whose sum is σ = 177899863680. Its totient is φ = 14344593408.

The previous prime is 54720130453. The next prime is 54720130561. The reversal of 54720130560 is 6503102745.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54720130561) 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 15 ways as a sum of consecutive naturals, for example, 392739 + ... + 513501.

It is an arithmetic number, because the mean of its divisors is an integer number (1111874148).

Almost surely, 254720130560 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 54720130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88949931840).

54720130560 is an abundant number, since it is smaller than the sum of its proper divisors (123179733120).

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

54720130560 is a wasteful number, since it uses less digits than its factorization.

54720130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120848 (or 120832 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 54720130560 in words is "fifty-four billion, seven hundred twenty million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 512 590 640 708 768 885 944 960 1180 1280 1416 1536 1770 1888 1920 2360 2560 2832 3540 3776 3840 4720 5664 7080 7552 7680 9440 11328 14160 15104 18880 22656 28320 30208 37760 45312 56640 75520 90624 113280 120763 151040 226560 241526 362289 453120 483052 603815 724578 966104 1207630 1449156 1811445 1932208 2415260 2898312 3622890 3864416 4830520 5796624 7125017 7245780 7728832 9661040 11593248 14250034 14491560 15457664 19322080 21375051 23186496 28500068 28983120 30915328 35625085 38644160 42750102 46372992 57000136 57966240 61830656 71250170 77288320 85500204 92745984 106875255 114000272 115932480 142500340 154576640 171000408 185491968 213750510 228000544 231864960 285000680 309153280 342000816 427501020 456001088 463729920 570001360 684001632 855002040 912002176 927459840 1140002720 1368003264 1710004080 1824004352 2280005440 2736006528 3420008160 3648008704 4560010880 5472013056 6840016320 9120021760 10944026112 13680032640 18240043520 27360065280 54720130560