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5501160061000 = 235373137550061
BaseRepresentation
bin101000000001101011010…
…1100001111100001001000
3201110220110022012001011221
41100003112230033201020
51210112333433423000
615411110435531424
71105305605664532
oct120032654174110
921426408161157
105501160061000
111831035491a5a
1274a1b3459b74
1330b9ac661666
14150386aa0852
159817010161a
hex500d6b0f848

5501160061000 has 128 divisors (see below), whose sum is σ = 13144325556960. Its totient is φ = 2154475008000.

The previous prime is 5501160060989. The next prime is 5501160061003. The reversal of 5501160061000 is 1600611055.

It can be written as a sum of positive squares in 16 ways, for example, as 35262079524 + 5465897981476 = 187782^2 + 2337926^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5501160061003) 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 31 ways as a sum of consecutive naturals, for example, 9725970 + ... + 10276030.

Almost surely, 25501160061000 is an apocalyptic number.

5501160061000 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 5501160061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572162778480).

5501160061000 is an abundant number, since it is smaller than the sum of its proper divisors (7643165495960).

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

5501160061000 is a wasteful number, since it uses less digits than its factorization.

5501160061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550292 (or 550278 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 5501160061000 its reverse (1600611055), we get a palindrome (5502760672055).

The spelling of 5501160061000 in words is "five trillion, five hundred one billion, one hundred sixty million, sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 137 146 200 250 274 292 365 500 548 584 685 730 1000 1096 1370 1460 1825 2740 2920 3425 3650 5480 6850 7300 9125 10001 13700 14600 17125 18250 20002 27400 34250 36500 40004 50005 68500 73000 80008 100010 137000 200020 250025 400040 500050 550061 1000100 1100122 1250125 2000200 2200244 2500250 2750305 4400488 5000500 5500610 10001000 11001220 13751525 22002440 27503050 40154453 55006100 68757625 75358357 80308906 110012200 137515250 150716714 160617812 200772265 275030500 301433428 321235624 376791785 401544530 550061000 602866856 753583570 803089060 1003861325 1507167140 1606178120 1883958925 2007722650 3014334280 3767917850 4015445300 5019306625 5501160061 7535835700 8030890600 9419794625 10038613250 11002320122 15071671400 18839589250 20077226500 22004640244 27505800305 37679178500 40154453000 44009280488 55011600610 75358357000 110023201220 137529001525 220046402440 275058003050 550116006100 687645007625 1100232012200 1375290015250 2750580030500 5501160061000