Search a number
-
+
6654020949198 = 23275199110527
BaseRepresentation
bin110000011010100001010…
…0011100001010011001110
3212120010012011100011100200
41200311002203201103032
51333004413330333243
622052452013434330
71254510561600000
oct140650243412316
925503164304320
106654020949198
112135a553a0707
128b571619b9a6
13393618b04bac
141900b080c370
15b81466acad3
hex60d428e14ce

6654020949198 has 144 divisors (see below), whose sum is σ = 16904417587200. Its totient is φ = 1891578216528.

The previous prime is 6654020949167. The next prime is 6654020949209. The reversal of 6654020949198 is 8919490204566.

6654020949198 is a `hidden beast` number, since 6 + 6 + 54 + 0 + 2 + 0 + 9 + 491 + 98 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60147411 + ... + 60257937.

It is an arithmetic number, because the mean of its divisors is an integer number (117391788800).

Almost surely, 26654020949198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6654020949198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8452208793600).

6654020949198 is an abundant number, since it is smaller than the sum of its proper divisors (10250396638002).

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

6654020949198 is a wasteful number, since it uses less digits than its factorization.

6654020949198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110769 (or 110738 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 6654020949198 in words is "six trillion, six hundred fifty-four billion, twenty million, nine hundred forty-nine thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 199 294 343 398 441 597 686 882 1029 1194 1393 1791 2058 2401 2786 3087 3582 4179 4802 6174 7203 8358 9751 12537 14406 16807 19502 21609 25074 29253 33614 43218 50421 58506 68257 87759 100842 110527 136514 151263 175518 204771 221054 302526 331581 409542 477799 614313 663162 773689 955598 994743 1228626 1433397 1547378 1989486 2321067 2866794 3344593 4300191 4642134 5415823 6689186 6963201 8600382 10033779 10831646 13926402 16247469 20067558 21994873 30101337 32494938 37910761 43989746 48742407 60202674 65984619 75821522 97484814 113732283 131969238 153964111 197953857 227464566 265375327 307928222 341196849 395907714 461892333 530750654 682393698 796125981 923784666 1077748777 1385676999 1592251962 1857627289 2155497554 2388377943 2771353998 3233246331 3715254578 4776755886 5572881867 6466492662 7544241439 9699738993 11145763734 15088482878 16718645601 19399477986 22632724317 33437291202 45265448634 52809690073 67898172951 105619380146 135796345902 158429070219 316858140438 369667830511 475287210657 739335661022 950574421314 1109003491533 2218006983066 3327010474599 6654020949198