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6802916085 = 3357191073541
BaseRepresentation
bin1100101010111110…
…00100001011110101
3122120002212221111000
412111133010023311
5102413021303320
63043014033513
7330403555410
oct62537041365
918502787430
106802916085
1129810835a9
12139a348899
13845530044
144876d6b77
1529c388c90
hex1957c42f5

6802916085 has 128 divisors (see below), whose sum is σ = 14689382400. Its totient is φ = 2917866240.

The previous prime is 6802916083. The next prime is 6802916143. The reversal of 6802916085 is 5806192086.

It is not a de Polignac number, because 6802916085 - 21 = 6802916083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6802916085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6802916083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1919415 + ... + 1922955.

It is an arithmetic number, because the mean of its divisors is an integer number (114760800).

Almost surely, 26802916085 is an apocalyptic number.

It is an amenable number.

6802916085 is an abundant number, since it is smaller than the sum of its proper divisors (7886466315).

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

6802916085 is a wasteful number, since it uses less digits than its factorization.

6802916085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 6802916085 is about 82479.7919796116. The cubic root of 6802916085 is about 1894.8072508357.

The spelling of 6802916085 in words is "six billion, eight hundred two million, nine hundred sixteen thousand, eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 107 133 135 171 189 285 315 321 399 513 535 665 749 855 945 963 1197 1605 1995 2033 2247 2565 2889 3541 3591 3745 4815 5985 6099 6741 10165 10623 11235 14231 14445 17705 17955 18297 20223 24787 30495 31869 33705 42693 53115 54891 67279 71155 74361 91485 95607 101115 123935 128079 159345 201837 213465 223083 274455 336395 371805 378887 384237 470953 478035 605511 640395 669249 1009185 1115415 1136661 1412859 1816533 1894435 1921185 2354765 2652209 3027555 3346245 3409983 4238577 5683305 7064295 7198853 7956627 9082665 10229949 12715731 13261045 17049915 21192885 21596559 23869881 35994265 39783135 50391971 51149745 63578655 64789677 71609643 107982795 119349405 151175913 194369031 251959855 323948385 358048215 453527739 755879565 971845155 1360583217 2267638695 6802916085