Search a number
-
+
21219989320264 = 2372371675987299
BaseRepresentation
bin1001101001100101010011…
…11011001111001001001000
32210010121111112121022001011
410310302221323033021020
510240132014231222024
6113044154543133304
74320044055111400
oct464625173171110
983117445538034
1021219989320264
11684138a849319
1224686ab5a4234
13bac061ca72a7
145350a548b800
1526bea98cd094
hex134ca9ecf248

21219989320264 has 96 divisors (see below), whose sum is σ = 47537678520000. Its totient is φ = 8847860418432.

The previous prime is 21219989320247. The next prime is 21219989320339. The reversal of 21219989320264 is 46202398991212.

It is a happy number.

It is a super-2 number, since 2×212199893202642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21219989320199 and 21219989320208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243028887 + ... + 243116185.

It is an arithmetic number, because the mean of its divisors is an integer number (495184151250).

Almost surely, 221219989320264 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 21219989320264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23768839260000).

21219989320264 is an abundant number, since it is smaller than the sum of its proper divisors (26317689199736).

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

21219989320264 is a wasteful number, since it uses less digits than its factorization.

21219989320264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104115 (or 104104 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The spelling of 21219989320264 in words is "twenty-one trillion, two hundred nineteen billion, nine hundred eighty-nine million, three hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 2072 3626 7252 14504 16759 33518 67036 87299 117313 134072 174598 234626 349196 469252 611093 620083 698392 821191 938504 1222186 1240166 1642382 2444372 2480332 3230063 3284764 4277651 4340581 4888744 4960664 6460126 6569528 8555302 8681162 12920252 17110604 17362324 22610441 25840504 30384067 34221208 34724648 45220882 60768134 90441764 121536268 158273087 180883528 243072536 316546174 633092348 1266184696 1463043941 2926087882 5852175764 10241307587 11704351528 20482615174 40965230348 54132625817 71689153109 81930460696 108265251634 143378306218 216530503268 286756612436 378928380719 433061006536 573513224872 757856761438 1515713522876 2652498665033 3031427045752 5304997330066 10609994660132 21219989320264