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16311219209820 = 22325463195718973
BaseRepresentation
bin1110110101011100000001…
…1011010100011001011100
32010202100002220121202001100
43231113000123110121130
54114220334104203240
654405134243513100
73302306134446513
oct355270033243134
963670086552040
1016311219209820
1152196050140a7
1219b5282388790
139141ab7933c2
144056780b367a
151d445b4c9e30
hexed5c06d465c

16311219209820 has 72 divisors (see below), whose sum is σ = 49584227749056. Its totient is φ = 4340263923072.

The previous prime is 16311219209749. The next prime is 16311219209821. The reversal of 16311219209820 is 2890291211361.

16311219209820 is a `hidden beast` number, since 1 + 631 + 1 + 2 + 1 + 9 + 2 + 0 + 9 + 8 + 2 + 0 = 666.

16311219209820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×163112192098202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16311219209821) 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, 97776147 + ... + 97942826.

It is an arithmetic number, because the mean of its divisors is an integer number (688669829848).

Almost surely, 216311219209820 is an apocalyptic number.

16311219209820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16311219209820 is an abundant number, since it is smaller than the sum of its proper divisors (33273008539236).

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

16311219209820 is a wasteful number, since it uses less digits than its factorization.

16311219209820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195719451 (or 195719446 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 16311219209820 in words is "sixteen trillion, three hundred eleven billion, two hundred nineteen million, two hundred nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 463 926 1389 1852 2315 2778 4167 4630 5556 6945 8334 9260 13890 16668 20835 27780 41670 83340 195718973 391437946 587156919 782875892 978594865 1174313838 1761470757 1957189730 2348627676 2935784595 3522941514 3914379460 5871569190 7045883028 8807353785 11743138380 17614707570 35229415140 90617884499 181235768998 271853653497 362471537996 453089422495 543707306994 815560960491 906178844990 1087414613988 1359268267485 1631121920982 1812357689980 2718536534970 3262243841964 4077804802455 5437073069940 8155609604910 16311219209820