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16041337057116 = 2234711236298219
BaseRepresentation
bin1110100101101110101000…
…1100100110111101011100
32002210112111100201212210000
43221123222030212331130
54100310124241311431
654041142152414300
73243643200140130
oct351335214467534
962715440655700
1016041337057116
115125102632298
121970b033a7390
138c48cb57ba17
143d6594cd53c0
151cc412e729e6
hexe96ea326f5c

16041337057116 has 120 divisors (see below), whose sum is σ = 47968654321280. Its totient is φ = 4579157186208.

The previous prime is 16041337057099. The next prime is 16041337057121. The reversal of 16041337057116 is 61175073314061.

16041337057116 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 1 + 3 + 3 + 70 + 571 + 1 + 6 = 666.

It is a super-2 number, since 2×160413370571162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 602146 + ... + 5696073.

Almost surely, 216041337057116 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 16041337057116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23984327160640).

16041337057116 is an abundant number, since it is smaller than the sum of its proper divisors (31927317264164).

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

16041337057116 is a wasteful number, since it uses less digits than its factorization.

16041337057116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299365 (or 6299354 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

It can be divided in two parts, 1604133 and 7057116, that added together give a square (8661249 = 29432).

The spelling of 16041337057116 in words is "sixteen trillion, forty-one billion, three hundred thirty-seven million, fifty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1123 1134 2246 2268 3369 4492 6738 7861 10107 13476 15722 20214 23583 30321 31444 40428 47166 60642 70749 90963 94332 121284 141498 181926 212247 282996 363852 424494 636741 848988 1273482 2546964 6298219 12596438 18894657 25192876 37789314 44087533 56683971 75578628 88175066 113367942 132262599 170051913 176350132 226735884 264525198 340103826 396787797 510155739 529050396 680207652 793575594 1020311478 1190363391 1587151188 2040622956 2380726782 3571090173 4761453564 7072899937 7142180346 14145799874 14284360692 21218699811 28291599748 42437399622 49510299559 63656099433 84874799244 99020599118 127312198866 148530898677 190968298299 198041198236 254624397732 297061797354 381936596598 445592696031 572904894897 594123594708 763873193196 891185392062 1145809789794 1336778088093 1782370784124 2291619579588 2673556176186 4010334264279 5347112352372 8020668528558 16041337057116