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6221074104 = 23357265309
BaseRepresentation
bin1011100101100111…
…00000111010111000
3121001120001022100000
411302303200322320
5100220043332404
62505151113000
7310110154200
oct56263407270
917046038300
106221074104
1127026a8063
121257512760
13781b2134b
14430319400
15266256339
hex172ce0eb8

6221074104 has 144 divisors (see below), whose sum is σ = 20325778200. Its totient is φ = 1777422528.

The previous prime is 6221074099. The next prime is 6221074133. The reversal of 6221074104 is 4014701226.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62602 + ... + 127910.

Almost surely, 26221074104 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 6221074104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162889100).

6221074104 is an abundant number, since it is smaller than the sum of its proper divisors (14104704096).

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

6221074104 is a wasteful number, since it uses less digits than its factorization.

6221074104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65344 (or 65321 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6221074104 is about 78873.7859114167. The cubic root of 6221074104 is about 1839.1696497553.

The spelling of 6221074104 in words is "six billion, two hundred twenty-one million, seventy-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13608 15876 23814 31752 47628 65309 95256 130618 195927 261236 391854 457163 522472 587781 783708 914326 1175562 1371489 1567416 1763343 1828652 2351124 2742978 3200141 3526686 3657304 4114467 4702248 5290029 5485956 6400282 7053372 8228934 9600423 10580058 10971912 12343401 12800564 14106744 15870087 16457868 19200846 21160116 24686802 25601128 28801269 31740174 32915736 37030203 38401692 42320232 49373604 57602538 63480348 74060406 76803384 86403807 98747208 111090609 115205076 126960696 148120812 172807614 222181218 230410152 259211421 296241624 345615228 444362436 518422842 691230456 777634263 888724872 1036845684 1555268526 2073691368 3110537052 6221074104