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553138843300 = 2252194110766361
BaseRepresentation
bin10000000110010011010…
…01001110111010100100
31221212202012022122101221
420003021221032322210
533030312020441200
61102035233030124
754651203406631
oct10031151167244
91855665278357
10553138843300
111a3648502a1a
128b2510b5344
1340212295a14
141cab477d188
15e5c5d4591a
hex80c9a4eea4

553138843300 has 144 divisors (see below), whose sum is σ = 1306418258880. Its totient is φ = 202583808000.

The previous prime is 553138843267. The next prime is 553138843331. The reversal of 553138843300 is 3348831355.

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 47 ways as a sum of consecutive naturals, for example, 8302120 + ... + 8368480.

It is an arithmetic number, because the mean of its divisors is an integer number (9072349020).

Almost surely, 2553138843300 is an apocalyptic number.

553138843300 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 553138843300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653209129440).

553138843300 is an abundant number, since it is smaller than the sum of its proper divisors (753279415580).

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

553138843300 is a wasteful number, since it uses less digits than its factorization.

553138843300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66542 (or 66535 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 553138843300 in words is "five hundred fifty-three billion, one hundred thirty-eight million, eight hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 107 164 190 205 214 380 410 428 475 535 779 820 950 1025 1070 1558 1900 2033 2050 2140 2675 3116 3895 4066 4100 4387 5350 7790 8132 8774 10165 10700 15580 17548 19475 20330 21935 38950 40660 43870 50825 66361 77900 83353 87740 101650 109675 132722 166706 203300 219350 265444 331805 333412 416765 438700 663610 833530 1260859 1327220 1659025 1667060 2083825 2521718 2720801 3318050 4167650 5043436 5441602 6304295 6636100 7100627 8335300 10883204 12608590 13604005 14201254 25217180 27208010 28402508 31521475 35503135 51695219 54416020 63042950 68020025 71006270 103390438 126085900 134911913 136040050 142012540 177515675 206780876 258476095 269823826 272080100 291125707 355031350 516952190 539647652 582251414 674559565 710062700 1033904380 1164502828 1292380475 1349119130 1455628535 2584760950 2698238260 2911257070 3372797825 5169521900 5531388433 5822514140 6745595650 7278142675 11062776866 13491191300 14556285350 22125553732 27656942165 29112570700 55313884330 110627768660 138284710825 276569421650 553138843300