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6450331016016 = 2432191613382583
BaseRepresentation
bin101110111011101010110…
…1100000101101101010000
3211211122102122210110010100
41131313111230011231100
51321140234220003031
621415124031332400
71234010133664206
oct135672554055520
924748378713110
106450331016016
11206762a776058
1288214a981100
1337a3571a8204
141842aa64b076
15b2bc430ede6
hex5ddd5b05b50

6450331016016 has 120 divisors (see below), whose sum is σ = 18176131224576. Its totient is φ = 2135358478080.

The previous prime is 6450331015907. The next prime is 6450331016023. The reversal of 6450331016016 is 6106101330546.

6450331016016 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 33 + 10 + 1 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16668661 + ... + 17051243.

Almost surely, 26450331016016 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 6450331016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088065612288).

6450331016016 is an abundant number, since it is smaller than the sum of its proper divisors (11725800208560).

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

6450331016016 is a wasteful number, since it uses less digits than its factorization.

6450331016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383401 (or 383392 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 6450331016016 in words is "six trillion, four hundred fifty billion, three hundred thirty-one million, sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 613 764 1146 1226 1528 1719 1839 2292 2452 3056 3438 3678 4584 4904 5517 6876 7356 9168 9808 11034 13752 14712 22068 27504 29424 44136 88272 117083 234166 351249 382583 468332 702498 765166 936664 1053747 1147749 1404996 1530332 1873328 2107494 2295498 2809992 3060664 3443247 4214988 4590996 5619984 6121328 6886494 8429976 9181992 13772988 16859952 18363984 27545976 55091952 73073353 146146706 219220059 234523379 292293412 438440118 469046758 584586824 657660177 703570137 876880236 938093516 1169173648 1315320354 1407140274 1753760472 1876187032 2110710411 2630640708 2814280548 3507520944 3752374064 4221420822 5261281416 5628561096 8442841644 10522562832 11257122192 16885683288 33771366576 44793965389 89587930778 134381896167 179175861556 268763792334 358351723112 403145688501 537527584668 716703446224 806291377002 1075055169336 1612582754004 2150110338672 3225165508008 6450331016016