Search a number
-
+
16575661270116 = 223213251419336773
BaseRepresentation
bin1111000100110101001001…
…1001101110010001100100
32011200121200100000021110200
43301031102121232101210
54133033423241120431
655130430442550500
73330360224045364
oct361152231562144
964617610007420
1016575661270116
115310775729a73
121a38583508430
1393310290acb0
144143a29909a4
151db287147ee6
hexf135266e464

16575661270116 has 144 divisors (see below), whose sum is σ = 45410660043840. Its totient is φ = 5067745056000.

The previous prime is 16575661270111. The next prime is 16575661270127. The reversal of 16575661270116 is 61107216657561.

16575661270116 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 5 + 6 + 612 + 7 + 0 + 1 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (16575661270111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49050706 + ... + 49387478.

It is an arithmetic number, because the mean of its divisors is an integer number (315351805860).

Almost surely, 216575661270116 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 16575661270116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705330021920).

16575661270116 is an abundant number, since it is smaller than the sum of its proper divisors (28834998773724).

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

16575661270116 is a wasteful number, since it uses less digits than its factorization.

16575661270116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337466 (or 337461 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 16575661270116 in words is "sixteen trillion, five hundred seventy-five billion, six hundred sixty-one million, two hundred seventy thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 251 419 468 502 753 838 1004 1257 1506 1676 2259 2514 3012 3263 3771 4518 5028 5447 6526 7542 9036 9789 10894 13052 15084 16341 19578 21788 29367 32682 39156 49023 58734 65364 98046 105169 117468 196092 210338 315507 336773 420676 631014 673546 946521 1010319 1262028 1347092 1367197 1893042 2020638 2734394 3030957 3786084 4041276 4101591 4378049 5468788 6061914 8203182 8756098 12123828 12304773 13134147 16406364 17512196 24609546 26268294 39402441 49219092 52536588 78804882 84530023 141107887 157609764 169060046 253590069 282215774 338120092 423323661 507180138 564431548 760770207 846647322 1014360276 1098890299 1269970983 1521540414 1693294644 1834402531 2197780598 2539941966 3043080828 3296670897 3668805062 4395561196 5079883932 5503207593 6593341794 7337610124 9890012691 11006415186 13186683588 16509622779 19780025382 22012830372 33019245558 35418079637 39560050764 66038491116 70836159274 106254238911 141672318548 212508477822 318762716733 425016955644 460435035281 637525433466 920870070562 1275050866932 1381305105843 1841740141124 2762610211686 4143915317529 5525220423372 8287830635058 16575661270116