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6889549968 = 2432767102013
BaseRepresentation
bin1100110101010011…
…00011000010010000
3122210010220101211100
412122221203002100
5103102211044333
63055350544400
7332505131340
oct63251430220
918703811740
106889549968
112a15a75954
121403368100
1385a473ab2
14495008d20
152a4c9d213
hex19aa63090

6889549968 has 120 divisors (see below), whose sum is σ = 22364733248. Its totient is φ = 1939044096.

The previous prime is 6889549951. The next prime is 6889549969. The reversal of 6889549968 is 8699459886.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6889549896 and 6889549905.

It is not an unprimeable number, because it can be changed into a prime (6889549969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16530 + ... + 118542.

Almost surely, 26889549968 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 6889549968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182366624).

6889549968 is an abundant number, since it is smaller than the sum of its proper divisors (15475183280).

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

6889549968 is a wasteful number, since it uses less digits than its factorization.

6889549968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102101 (or 102092 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The square root of 6889549968 is about 83003.3129941209. The cubic root of 6889549968 is about 1902.8166872952.

The spelling of 6889549968 in words is "six billion, eight hundred eighty-nine million, five hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1876 2412 2814 3216 3752 4221 4824 5628 7504 8442 9648 11256 16884 22512 33768 67536 102013 204026 306039 408052 612078 714091 816104 918117 1224156 1428182 1632208 1836234 2142273 2448312 2856364 3672468 4284546 4896624 5712728 6426819 6834871 7344936 8569092 11425456 12853638 13669742 14689872 17138184 20504613 25707276 27339484 34276368 41009226 47844097 51414552 54678968 61513839 82018452 95688194 102829104 109357936 123027678 143532291 164036904 191376388 246055356 287064582 328073808 382752776 430596873 492110712 574129164 765505552 861193746 984221424 1148258328 1722387492 2296516656 3444774984 6889549968