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16442017755156 = 22327479136213157
BaseRepresentation
bin1110111101000011010010…
…1000001011000000010100
32011012211201111011021221100
43233100310220023000110
54123341223021131111
654545205250350100
73314616345651420
oct357206450130024
964184644137840
1016442017755156
11526a025420154
121a166a658b330
13923624c2b966
1440bb25649b80
151d7a644c9756
hexef434a0b014

16442017755156 has 72 divisors (see below), whose sum is σ = 47598325931520. Its totient is φ = 4687911976896.

The previous prime is 16442017755077. The next prime is 16442017755157. The reversal of 16442017755156 is 65155771024461.

16442017755156 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 20 + 17 + 7 + 551 + 56 = 666.

It is a super-3 number, since 3×164420177551563 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442017755157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67985871 + ... + 68227286.

It is an arithmetic number, because the mean of its divisors is an integer number (661087860160).

Almost surely, 216442017755156 is an apocalyptic number.

It is an amenable number.

16442017755156 is an abundant number, since it is smaller than the sum of its proper divisors (31156308176364).

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

16442017755156 is a wasteful number, since it uses less digits than its factorization.

16442017755156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136213653 (or 136213648 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 16442017755156 in words is "sixteen trillion, four hundred forty-two billion, seventeen million, seven hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 479 958 1437 1916 2874 3353 4311 5748 6706 8622 10059 13412 17244 20118 30177 40236 60354 120708 136213157 272426314 408639471 544852628 817278942 953492099 1225918413 1634557884 1906984198 2451836826 2860476297 3813968396 4903673652 5720952594 8581428891 11441905188 17162857782 34325715564 65246102203 130492204406 195738306609 260984408812 391476613218 456722715421 587214919827 782953226436 913445430842 1174429839654 1370168146263 1826890861684 2348859679308 2740336292526 4110504438789 5480672585052 8221008877578 16442017755156