Search a number
-
+
10552421245330 = 2517239734618039
BaseRepresentation
bin1001100110001110110101…
…0100011110000110010010
31101100210122101021010212201
42121203231110132012102
52340342324314322310
634235414305313414
72136246556426666
oct231435524360622
941323571233781
1010552421245330
1133a9290767a68
12122516863586a
135b712085cb53
14286a504728a6
1513475cc8be3a
hex998ed51e192

10552421245330 has 128 divisors (see below), whose sum is σ = 21211209815040. Its totient is φ = 3759222128640.

The previous prime is 10552421245309. The next prime is 10552421245337. The reversal of 10552421245330 is 3354212425501.

It is a happy number.

It is a super-2 number, since 2×105524212453302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10552421245330.

It is not an unprimeable number, because it can be changed into a prime (10552421245337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1312649451 + ... + 1312657489.

It is an arithmetic number, because the mean of its divisors is an integer number (165712576680).

Almost surely, 210552421245330 is an apocalyptic number.

10552421245330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10552421245330 is an abundant number, since it is smaller than the sum of its proper divisors (10658788569710).

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

10552421245330 is a wasteful number, since it uses less digits than its factorization.

10552421245330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644.

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 10552421245330 in words is "ten trillion, five hundred fifty-two billion, four hundred twenty-one million, two hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 5 10 17 23 34 46 85 97 115 170 194 230 391 485 782 970 1649 1955 2231 3298 3461 3910 4462 6922 8039 8245 11155 16078 16490 17305 22310 34610 37927 40195 58837 75854 79603 80390 117674 136663 159206 184897 189635 273326 294185 335717 369794 379270 398015 588370 671434 683315 779783 796030 924485 1353251 1366630 1559566 1678585 1848970 2706502 3143249 3357170 3898915 5707189 6286498 6766255 7721491 7797830 11414378 13256311 13532510 15442982 15716245 17935009 26512622 27822979 28535945 31432490 35870018 38607455 55645958 57071890 66281555 77214910 89675045 131265347 132563110 139114895 179350090 262530694 278229790 304895153 472990643 609790306 639928517 656326735 945981286 1279857034 1312653470 1524475765 2364953215 2698828963 3048951530 3199642585 4729906430 5397657926 6399285170 10878784789 13494144815 21757569578 26988289630 45880092371 54393923945 62073066149 91760184742 108787847890 124146132298 229400461855 310365330745 458800923710 620730661490 1055242124533 2110484249066 5276210622665 10552421245330