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868918512 = 2437112331009
BaseRepresentation
bin110011110010101…
…010010011110000
32020120000122010010
4303302222103300
53234420343022
6222115534520
730350454060
oct6362522360
92216018103
10868918512
11406533380
12202bba440
1310b033387
14835893a0
155143c50c
hex33caa4f0

868918512 has 160 divisors (see below), whose sum is σ = 2813391360. Its totient is φ = 224501760.

The previous prime is 868918493. The next prime is 868918537. The reversal of 868918512 is 215819868.

868918512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 860664 + ... + 861672.

It is an arithmetic number, because the mean of its divisors is an integer number (17583696).

Almost surely, 2868918512 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 868918512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406695680).

868918512 is an abundant number, since it is smaller than the sum of its proper divisors (1944472848).

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

868918512 is a wasteful number, since it uses less digits than its factorization.

868918512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1265 counting only the distinct ones).

The product of its digits is 276480, while the sum is 48.

The square root of 868918512 is about 29477.4237680297. The cubic root of 868918512 is about 954.2445390989.

The spelling of 868918512 in words is "eight hundred sixty-eight million, nine hundred eighteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 233 264 308 336 462 466 528 616 699 924 932 1009 1232 1398 1631 1848 1864 2018 2563 2796 3027 3262 3696 3728 4036 4893 5126 5592 6054 6524 7063 7689 8072 9786 10252 11099 11184 12108 13048 14126 15378 16144 17941 19572 20504 21189 22198 24216 26096 28252 30756 33297 35882 39144 41008 42378 44396 48432 53823 56504 61512 66594 71764 77693 78288 84756 88792 107646 113008 123024 133188 143528 155386 169512 177584 215292 233079 235097 266376 287056 310772 339024 430584 466158 470194 532752 621544 705291 861168 932316 940388 1243088 1410582 1645679 1864632 1880776 2586067 2821164 3291358 3729264 3761552 4937037 5172134 5642328 6582716 7758201 9874074 10344268 11284656 13165432 15516402 18102469 19748148 20688536 26330864 31032804 36204938 39496296 41377072 54307407 62065608 72409876 78992592 108614814 124131216 144819752 217229628 289639504 434459256 868918512