Search a number
-
+
21745753755198 = 23117910372755697
BaseRepresentation
bin1001111000111000100111…
…11011011000111000111110
32211222212120222010220200120
410330130103323120320332
510322240300430131243
6114125510015435410
74403036023061514
oct474342373307076
984885528126616
1021745753755198
116a243600a2050
122532580b25b66
13c19800b3b425
145527003a64b4
1527a9cc382c83
hex13c713ed8e3e

21745753755198 has 128 divisors (see below), whose sum is σ = 48579920363520. Its totient is φ = 6434064299520.

The previous prime is 21745753755181. The next prime is 21745753755227. The reversal of 21745753755198 is 89155735754712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390401686 + ... + 390457382.

It is an arithmetic number, because the mean of its divisors is an integer number (379530627840).

Almost surely, 221745753755198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21745753755198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24289960181760).

21745753755198 is an abundant number, since it is smaller than the sum of its proper divisors (26834166608322).

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

21745753755198 is a wasteful number, since it uses less digits than its factorization.

21745753755198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56622.

The product of its digits is 370440000, while the sum is 69.

The spelling of 21745753755198 in words is "twenty-one trillion, seven hundred forty-five billion, seven hundred fifty-three million, seven hundred fifty-five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 79 103 158 206 237 309 474 618 727 869 1133 1454 1738 2181 2266 2607 3399 4362 5214 6798 7997 8137 15994 16274 23991 24411 47982 48822 55697 57433 74881 89507 111394 114866 149762 167091 172299 179014 224643 268521 334182 344598 449286 537042 612667 631763 823691 1225334 1263526 1647382 1838001 1895289 2471073 3676002 3790578 4400063 4942146 5736791 5915599 8800126 11473582 11831198 13200189 17210373 17746797 26400378 34420746 35493594 40491719 48400693 63104701 65071589 80983438 96801386 121475157 126209402 130143178 145202079 189314103 195214767 242950314 290404158 378628206 390429534 445408909 453206489 890817818 906412978 1336226727 1359619467 2672453454 2719238934 3198845801 4170647057 4985271379 6397691602 8341294114 9596537403 9970542758 12511941171 14955814137 19193074806 25023882342 29911628274 35187303811 45877117627 70374607622 91754235254 105561911433 137631352881 211123822866 275262705762 329481117503 658962235006 988443352509 1976886705018 3624292292533 7248584585066 10872876877599 21745753755198