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5280983823348 = 223210114919749481
BaseRepresentation
bin100110011011001001100…
…1010100011001111110100
3200200212010211202021211100
41030312103022203033310
51143010423324321343
615122014523010100
71053352462565322
oct114662312431764
920625124667740
105280983823348
11175671a769892
127135a6969930
132c3cc12b032c
1414385b13cd12
15925856ec9d3
hex4cd932a33f4

5280983823348 has 144 divisors (see below), whose sum is σ = 13640970142800. Its totient is φ = 1722379008000.

The previous prime is 5280983823347. The next prime is 5280983823389. The reversal of 5280983823348 is 8433283890825.

5280983823348 is a `hidden beast` number, since 5 + 280 + 9 + 8 + 3 + 8 + 2 + 3 + 348 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 193017878244 + 5087965945104 = 439338^2 + 2255652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5280983823347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106702768 + ... + 106752248.

It is an arithmetic number, because the mean of its divisors is an integer number (94728959325).

Almost surely, 25280983823348 is an apocalyptic number.

It is an amenable number.

5280983823348 is an abundant number, since it is smaller than the sum of its proper divisors (8359986319452).

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

5280983823348 is a wasteful number, since it uses less digits than its factorization.

5280983823348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49938 (or 49933 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 5280983823348 in words is "five trillion, two hundred eighty billion, nine hundred eighty-three million, eight hundred twenty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 101 149 197 202 298 303 394 404 447 591 596 606 788 894 909 1182 1212 1341 1773 1788 1818 2364 2682 3546 3636 5364 7092 15049 19897 29353 30098 39794 45147 49481 58706 59691 60196 79588 88059 90294 98962 117412 119382 135441 148443 176118 179073 180588 197924 238764 264177 270882 296886 352236 358146 445329 528354 541764 593772 716292 890658 1056708 1781316 2964653 4997581 5929306 7372669 8893959 9747757 9995162 11858612 14745338 14992743 17787918 19495514 19990324 22118007 26681877 29243271 29490676 29985486 35575836 38991028 44236014 44978229 53363754 58486542 59970972 66354021 87729813 88472028 89956458 106727508 116973084 132708042 175459626 179912916 265416084 350919252 744639569 984523457 1452415793 1489279138 1969046914 2233918707 2904831586 2953570371 2978558276 3938093828 4357247379 4467837414 5809663172 5907140742 6701756121 8714494758 8860711113 8935674828 11814281484 13071742137 13403512242 17428989516 17721422226 26143484274 26807024484 35442844452 52286968548 146693995093 293387990186 440081985279 586775980372 880163970558 1320245955837 1760327941116 2640491911674 5280983823348