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212534297118168 = 233313115749159773
BaseRepresentation
bin110000010100110001111111…
…010010000100010111011000
31000212112002011120222222221020
4300110301333102010113120
5210324130220030240133
62032004524101042440
762524045004026644
oct6024617722042730
91025462146888836
10212534297118168
11617a131aa69103
121ba066a20b6420
139178b8a51219c
143a6aa01847c24
151988788ad20b3
hexc14c7f4845d8

212534297118168 has 128 divisors (see below), whose sum is σ = 550338347520000. Its totient is φ = 68326687526400.

The previous prime is 212534297118149. The next prime is 212534297118191. The reversal of 212534297118168 is 861811792435212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330146730 + ... + 1330306502.

It is an arithmetic number, because the mean of its divisors is an integer number (4299518340000).

Almost surely, 2212534297118168 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 212534297118168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275169173760000).

212534297118168 is an abundant number, since it is smaller than the sum of its proper divisors (337804050401832).

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

212534297118168 is a wasteful number, since it uses less digits than its factorization.

212534297118168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165873 (or 165869 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 60.

The spelling of 212534297118168 in words is "two hundred twelve trillion, five hundred thirty-four billion, two hundred ninety-seven million, one hundred eighteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 311 372 622 744 933 1244 1866 2488 3732 5749 7464 9641 11498 17247 19282 22996 28923 34494 38564 45992 57846 68988 77128 115692 137976 159773 178219 231384 319546 356438 479319 534657 639092 712876 958638 1069314 1278184 1425752 1787939 1917276 2138628 3575878 3834552 4277256 4952963 5363817 7151756 9905926 10727634 14303512 14858889 19811852 21455268 29717778 39623704 42910536 49689403 55426109 59435556 99378806 110852218 118871112 149068209 166278327 198757612 221704436 298136418 332556654 397515224 443408872 596272836 665113308 918534977 1192545672 1330226616 1540371493 1837069954 2755604931 3080742986 3674139908 4621114479 5511209862 6161485972 7348279816 9242228958 11022419724 12322971944 18484457916 22044839448 28474584287 36968915832 56949168574 85423752861 113898337148 170847505722 227796674296 285664377847 341695011444 571328755694 683390022888 856993133541 1142657511388 1713986267082 2285315022776 3427972534164 6855945068328 8855595713257 17711191426514 26566787139771 35422382853028 53133574279542 70844765706056 106267148559084 212534297118168