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211116671666112 = 26337293101426621
BaseRepresentation
bin110000000000001001101110…
…001110001000011111000000
31000200111120000211121110121210
4300000021232032020133000
5210132413420421303422
62025001354323450120
762316450634352202
oct6000115616103700
91020446024543553
10211116671666112
11612a509439a913
121b8179aa226940
1390a52a8177454
143a1c15c46c772
15196196840110c
hexc0026e3887c0

211116671666112 has 112 divisors (see below), whose sum is σ = 575634216259872. Its totient is φ = 68236584284160.

The previous prime is 211116671666111. The next prime is 211116671666123. The reversal of 211116671666112 is 211666176611112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211116671666111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48631839 + ... + 52794782.

It is an arithmetic number, because the mean of its divisors is an integer number (5139591216606).

Almost surely, 2211116671666112 is an apocalyptic number.

It is an amenable number.

211116671666112 is an abundant number, since it is smaller than the sum of its proper divisors (364517544593760).

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

211116671666112 is a wasteful number, since it uses less digits than its factorization.

211116671666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101426966 (or 101426956 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The spelling of 211116671666112 in words is "two hundred eleven trillion, one hundred sixteen billion, six hundred seventy-one million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 293 296 444 586 592 879 888 1172 1184 1758 1776 2344 2368 3516 3552 4688 7032 7104 9376 10841 14064 18752 21682 28128 32523 43364 56256 65046 86728 130092 173456 260184 346912 520368 693824 1040736 2081472 101426621 202853242 304279863 405706484 608559726 811412968 1217119452 1622825936 2434238904 3245651872 3752784977 4868477808 6491303744 7505569954 9736955616 11258354931 15011139908 19473911232 22516709862 29717999953 30022279816 45033419724 59435999906 60044559632 89153999859 90066839448 118871999812 120089119264 178307999718 180133678896 237743999624 240178238528 356615999436 360267357792 475487999248 713231998872 720534715584 950975998496 1099565998261 1426463997744 1901951996992 2199131996522 2852927995488 3298697994783 4398263993044 5705855990976 6597395989566 8796527986088 13194791979132 17593055972176 26389583958264 35186111944352 52779167916528 70372223888704 105558335833056 211116671666112