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490018083104 = 25112232239233
BaseRepresentation
bin1110010000101110101…
…10101001000100100000
31201211211012110210110202
413020113112221010200
531012024112124404
61013040004044332
750255050660664
oct7102726510440
91654735423422
10490018083104
111798a7484600
127ab760936a8
1337293122384
1419a0764a8a4
15cb2e64821e
hex72175a9120

490018083104 has 108 divisors (see below), whose sum is σ = 1108511552358. Its totient is φ = 213050449920.

The previous prime is 490018083103. The next prime is 490018083143. The reversal of 490018083104 is 401380810094.

It can be written as a sum of positive squares in only one way, i.e., 277994671504 + 212023411600 = 527252^2 + 460460^2 .

It is not an unprimeable number, because it can be changed into a prime (490018083103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1928672 + ... + 2167904.

Almost surely, 2490018083104 is an apocalyptic number.

490018083104 is a gapful number since it is divisible by the number (44) 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 490018083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554255776179).

490018083104 is an abundant number, since it is smaller than the sum of its proper divisors (618493469254).

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

490018083104 is a wasteful number, since it uses less digits than its factorization.

490018083104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239311 (or 239269 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

Adding to 490018083104 its reverse (401380810094), we get a palindrome (891398893198).

The spelling of 490018083104 in words is "four hundred ninety billion, eighteen million, eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 242 253 352 368 484 506 529 736 968 1012 1058 1936 2024 2116 2783 3872 4048 4232 5566 5819 8096 8464 11132 11638 16928 22264 23276 44528 46552 64009 89056 93104 128018 186208 239233 256036 478466 512072 956932 1024144 1913864 2048288 2631563 3827728 5263126 5502359 7655456 10526252 11004718 21052504 22009436 28947193 42105008 44018872 57894386 60525949 84210016 88037744 115788772 121051898 126554257 176075488 231577544 242103796 253108514 463155088 484207592 506217028 665785439 926310176 968415184 1012434056 1331570878 1392096827 1936830368 2024868112 2663141756 2784193654 4049736224 5326283512 5568387308 10652567024 11136774616 15313065097 21305134048 22273549232 30626130194 44547098464 61252260388 122504520776 245009041552 490018083104