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54504320040 = 2334518192941
BaseRepresentation
bin110010110000101101…
…011110110000101000
312012200111111100010000
4302300231132300220
51343111101220130
641012224423000
73636445035102
oct626055366050
9165614440100
1054504320040
112112a2a43a5
12a691477a60
1351a7cc9961
1428d0a42572
151640038260
hexcb0b5ec28

54504320040 has 160 divisors (see below), whose sum is σ = 184209185160. Its totient is φ = 14454028800.

The previous prime is 54504320027. The next prime is 54504320051. The reversal of 54504320040 is 4002340545.

54504320040 is a `hidden beast` number, since 5 + 450 + 4 + 3 + 200 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8259537924 + 46244782116 = 90882^2 + 215046^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54504319986 and 54504320013.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 539970 + ... + 632910.

Almost surely, 254504320040 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 54504320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92104592580).

54504320040 is an abundant number, since it is smaller than the sum of its proper divisors (129704865120).

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

54504320040 is a wasteful number, since it uses less digits than its factorization.

54504320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93145 (or 93132 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 54504320040 its reverse (4002340545), we get a palindrome (58506660585).

It can be divided in two parts, 54504 and 320040, that added together give a square (374544 = 6122).

The spelling of 54504320040 in words is "fifty-four billion, five hundred four million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 181 216 270 324 360 362 405 540 543 648 724 810 905 1080 1086 1448 1620 1629 1810 2172 2715 3240 3258 3620 4344 4887 5430 6516 7240 8145 9774 10860 13032 14661 16290 19548 21720 24435 29322 32580 39096 48870 58644 65160 73305 92941 97740 117288 146610 185882 195480 278823 293220 371764 464705 557646 586440 743528 836469 929410 1115292 1394115 1672938 1858820 2230584 2509407 2788230 3345876 3717640 4182345 5018814 5576460 6691752 7528221 8364690 10037628 11152920 12547035 15056442 16729380 16822321 20075256 25094070 30112884 33458760 33644642 37641105 50188140 50466963 60225768 67289284 75282210 84111605 100376280 100933926 134578568 150564420 151400889 168223210 201867852 252334815 301128840 302801778 336446420 403735704 454202667 504669630 605603556 672892840 757004445 908405334 1009339260 1211207112 1362608001 1514008890 1816810668 2018678520 2271013335 2725216002 3028017780 3633621336 4542026670 5450432004 6056035560 6813040005 9084053340 10900864008 13626080010 18168106680 27252160020 54504320040