Search a number
-
+
6873285216 = 253773140111
BaseRepresentation
bin1100110011010111…
…00000001001100000
3122202000022001210010
412121223200021200
5103034030111331
63054010204520
7332216650260
oct63153401140
918660261703
106873285216
112a07876a06
1213b9a23740
13856c9a895
14492bb37a0
152a3638e46
hex199ae0260

6873285216 has 96 divisors (see below), whose sum is σ = 20902468608. Its totient is φ = 1936880640.

The previous prime is 6873285203. The next prime is 6873285257. The reversal of 6873285216 is 6125823786.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21000 + ... + 119111.

It is an arithmetic number, because the mean of its divisors is an integer number (217734048).

Almost surely, 26873285216 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 6873285216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10451234304).

6873285216 is an abundant number, since it is smaller than the sum of its proper divisors (14029183392).

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

6873285216 is a wasteful number, since it uses less digits than its factorization.

6873285216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140204 (or 140196 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 6873285216 is about 82905.2785774223. The cubic root of 6873285216 is about 1901.3181265191.

The spelling of 6873285216 in words is "six billion, eight hundred seventy-three million, two hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 6132 7008 8176 12264 16352 24528 49056 140111 280222 420333 560444 840666 980777 1120888 1681332 1961554 2241776 2942331 3362664 3923108 4483552 5884662 6725328 7846216 10228103 11769324 13450656 15692432 20456206 23538648 30684309 31384864 40912412 47077296 61368618 71596721 81824824 94154592 122737236 143193442 163649648 214790163 245474472 286386884 327299296 429580326 490948944 572773768 859160652 981897888 1145547536 1718321304 2291095072 3436642608 6873285216