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665407217112 = 23311109151153137
BaseRepresentation
bin10011010111011010101…
…11000101110111011000
32100121112101001221122220
421223231113011313120
541400223221421422
61225403413544040
766034261011051
oct11535527056730
92317471057586
10665407217112
1123721a032930
12a8b63645020
134a994713841
14242c4d1b728
1512497163e5c
hex9aed5c5dd8

665407217112 has 128 divisors (see below), whose sum is σ = 1843536499200. Its totient is φ = 198464256000.

The previous prime is 665407217107. The next prime is 665407217129. The reversal of 665407217112 is 211712704566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4268608 + ... + 4421744.

It is an arithmetic number, because the mean of its divisors is an integer number (14402628900).

Almost surely, 2665407217112 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 665407217112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921768249600).

665407217112 is an abundant number, since it is smaller than the sum of its proper divisors (1178129282088).

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

665407217112 is a wasteful number, since it uses less digits than its factorization.

665407217112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153417 (or 153413 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 665407217112 in words is "six hundred sixty-five billion, four hundred seven million, two hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 151 218 264 302 327 436 453 604 654 872 906 1199 1208 1308 1661 1812 2398 2616 3322 3597 3624 4796 4983 6644 7194 9592 9966 13288 14388 16459 19932 28776 32918 39864 49377 65836 98754 131672 153137 181049 197508 306274 362098 395016 459411 543147 612548 724196 918822 1086294 1225096 1448392 1684507 1837644 2172588 3369014 3675288 4345176 5053521 6738028 10107042 13476056 16691933 20214084 23123687 33383866 40428168 46247374 50075799 66767732 69371061 92494748 100151598 133535464 138742122 183611263 184989496 200303196 254360557 277484244 367222526 400606392 508721114 550833789 554968488 734445052 763081671 1017442228 1101667578 1468890104 1526163342 2034884456 2203335156 2520481883 3052326684 4406670312 5040963766 6104653368 7561445649 10081927532 15122891298 20163855064 27725300713 30245782596 55450601426 60491565192 83175902139 110901202852 166351804278 221802405704 332703608556 665407217112