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6371320416 = 2532919711617
BaseRepresentation
bin1011110111100001…
…01010001001100000
3121110000202121112020
411323300222021200
5101022024223131
62532115301440
7313613221116
oct57360521140
917400677466
106371320416
11277a49836a
1212998aa880
137a6ca83a6
14446269ab6
15274533996
hex17bc2a260

6371320416 has 96 divisors (see below), whose sum is σ = 17390751840. Its totient is φ = 2039955456.

The previous prime is 6371320399. The next prime is 6371320421. The reversal of 6371320416 is 6140231736.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542640 + ... + 554256.

It is an arithmetic number, because the mean of its divisors is an integer number (181153665).

Almost surely, 26371320416 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 6371320416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695375920).

6371320416 is an abundant number, since it is smaller than the sum of its proper divisors (11019431424).

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

6371320416 is a wasteful number, since it uses less digits than its factorization.

6371320416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 6371320416 is about 79820.5513386120. The cubic root of 6371320416 is about 1853.8580714297.

It can be divided in two parts, 6371320 and 416, that added together give a palindrome (6371736).

The spelling of 6371320416 in words is "six billion, three hundred seventy-one million, three hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 197 232 348 394 464 591 696 788 928 1182 1392 1576 2364 2784 3152 4728 5713 6304 9456 11426 11617 17139 18912 22852 23234 34278 34851 45704 46468 68556 69702 91408 92936 137112 139404 182816 185872 274224 278808 336893 371744 548448 557616 673786 1010679 1115232 1347572 2021358 2288549 2695144 4042716 4577098 5390288 6865647 8085432 9154196 10780576 13731294 16170864 18308392 27462588 32341728 36616784 54925176 66367921 73233568 109850352 132735842 199103763 219700704 265471684 398207526 530943368 796415052 1061886736 1592830104 2123773472 3185660208 6371320416