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16442621200616 = 23132294441155461
BaseRepresentation
bin1110111101000101100010…
…0110001000100011101000
32011012220021112122111111012
43233101120212020203220
54123343442011404431
654545345204323052
73314640324110552
oct357213046104350
964186245574435
1016442621200616
11526a305011706
121a168346a3488
139236bcc62890
1440bb8184c4d2
151d7a9c47822b
hexef4589888e8

16442621200616 has 64 divisors (see below), whose sum is σ = 33354154453200. Its totient is φ = 7554012825600.

The previous prime is 16442621200559. The next prime is 16442621200619. The reversal of 16442621200616 is 61600212624461.

It can be written as a sum of positive squares in 8 ways, for example, as 13666552048900 + 2776069151716 = 3696830^2 + 1666154^2 .

It is a super-3 number, since 3×164426212006163 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442621200619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105689126 + ... + 105844586.

Almost surely, 216442621200616 is an apocalyptic number.

It is an amenable number.

16442621200616 is an abundant number, since it is smaller than the sum of its proper divisors (16911533252584).

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

16442621200616 is a wasteful number, since it uses less digits than its factorization.

16442621200616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160150 (or 160146 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 16442621200616 in words is "sixteen trillion, four hundred forty-two billion, six hundred twenty-one million, two hundred thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 229 458 916 1832 2977 4441 5954 8882 11908 17764 23816 35528 57733 115466 155461 230932 310922 461864 621844 1016989 1243688 2020993 2033978 4041986 4067956 8083972 8135912 13220857 16167944 26441714 35600569 52883428 71201138 105766856 142402276 284804552 462807397 690402301 925614794 1380804602 1851229588 2761609204 3702459176 5523218408 8975229913 17950459826 35900919652 71801839304 158102126929 316204253858 632408507716 1264817015432 2055327650077 4110655300154 8221310600308 16442621200616