Search a number
-
+
6981675363292 = 22717191151670693
BaseRepresentation
bin110010110011000110001…
…0001111010101111011100
3220201102220221220222111211
41211212030101322233130
51403341432343111132
622503200512554204
71320260265265330
oct145461421725734
926642827828454
106981675363292
112251a03804593
12949118b52964
133b84a5082526
141a1cb46617c0
15c1921abc147
hex6598c47abdc

6981675363292 has 96 divisors (see below), whose sum is σ = 15576412078080. Its totient is φ = 2665598284800.

The previous prime is 6981675363217. The next prime is 6981675363293. The reversal of 6981675363292 is 2923635761896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981675363293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10074298 + ... + 10744990.

It is an arithmetic number, because the mean of its divisors is an integer number (162254292480).

Almost surely, 26981675363292 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 6981675363292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788206039040).

6981675363292 is an abundant number, since it is smaller than the sum of its proper divisors (8594736714788).

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

6981675363292 is a wasteful number, since it uses less digits than its factorization.

6981675363292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671891 (or 671889 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 67.

The spelling of 6981675363292 in words is "six trillion, nine hundred eighty-one billion, six hundred seventy-five million, three hundred sixty-three thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1151 1292 2261 2302 4522 4604 8057 9044 16114 19567 21869 32228 39134 43738 78268 87476 136969 153083 273938 306166 371773 547876 612332 670693 743546 1341386 1487092 2602411 2682772 4694851 5204822 9389702 10409644 11401781 12743167 18779404 22803562 25486334 45607124 50972668 79812467 89202169 159624934 178404338 216633839 319249868 356808676 433267678 771967643 866535356 1516436873 1543935286 3032873746 3087870572 5403773501 6065747492 10807547002 13123449931 14667385217 21615094004 26246899862 29334770434 52493799724 58669540868 91864149517 102671696519 183728299034 205343393038 249345548689 367456598068 410686786076 498691097378 997382194756 1745418840823 3490837681646 6981675363292