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868410387252 = 223417568327743
BaseRepresentation
bin11001010001100010100…
…10101110101100110100
310002000112000100111010000
430220301102232230310
5103212001024343002
61502535304231300
7116512006333122
oct14506122565464
93060460314100
10868410387252
1130532202a221
12120378a6b530
1363b76c87165
1430061bcc912
15178c90a661c
hexca314aeb34

868410387252 has 120 divisors (see below), whose sum is σ = 2404246876416. Its totient is φ = 272384716032.

The previous prime is 868410387241. The next prime is 868410387281. The reversal of 868410387252 is 252783014868.

868410387252 is a `hidden beast` number, since 8 + 6 + 8 + 4 + 1 + 0 + 387 + 252 = 666.

It is a super-2 number, since 2×8684103872522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31288093 + ... + 31315835.

Almost surely, 2868410387252 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 868410387252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202123438208).

868410387252 is an abundant number, since it is smaller than the sum of its proper divisors (1535836489164).

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

868410387252 is a wasteful number, since it uses less digits than its factorization.

868410387252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33459 (or 33448 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 868410387252 in words is "eight hundred sixty-eight billion, four hundred ten million, three hundred eighty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 5683 11366 17049 22732 27743 34098 51147 55486 68196 83229 96611 102294 110972 153441 166458 193222 204588 249687 289833 306882 332916 386444 460323 471631 499374 579666 613764 749061 869499 920646 943262 998748 1159332 1414893 1498122 1738998 1841292 1886524 2247183 2608497 2829786 2996244 3477996 4244679 4494366 5216994 5659572 7825491 8489358 8988732 10433988 12734037 15650982 16978716 25468074 31301964 38202111 50936148 76404222 152808444 157663469 315326938 472990407 630653876 945980814 1418971221 1891961628 2680278973 2837942442 4256913663 5360557946 5675884884 8040836919 8513827326 10721115892 12770740989 16081673838 17027654652 24122510757 25541481978 32163347676 48245021514 51082963956 72367532271 96490043028 144735064542 217102596813 289470129084 434205193626 868410387252