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10864855512 = 2333715434657
BaseRepresentation
bin10100001111001100…
…01000100111011000
31001001012010211212000
422013212020213120
5134222400334022
64554035321000
7533145514410
oct120746104730
931035124760
1010864855512
114675a22835
122132750160
131041c2a3b4
14750d71640
15438c966ac
hex2879889d8

10864855512 has 128 divisors (see below), whose sum is σ = 34521369600. Its totient is φ = 3101566464.

The previous prime is 10864855493. The next prime is 10864855513. The reversal of 10864855512 is 21555846801.

10864855512 is a `hidden beast` number, since 1 + 0 + 86 + 4 + 8 + 55 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864855513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330688 + ... + 2335344.

It is an arithmetic number, because the mean of its divisors is an integer number (269698200).

Almost surely, 210864855512 is an apocalyptic number.

10864855512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10864855512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260684800).

10864855512 is an abundant number, since it is smaller than the sum of its proper divisors (23656514088).

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

10864855512 is a wasteful number, since it uses less digits than its factorization.

10864855512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 10864855512 in words is "ten billion, eight hundred sixty-four million, eight hundred fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1543 3086 4629 4657 6172 9258 9314 10801 12344 13887 13971 18516 18628 21602 27774 27942 32403 32599 37032 37256 41661 41913 43204 55548 55884 64806 65198 83322 83826 86408 97209 97797 111096 111768 125739 129612 130396 166644 167652 194418 195594 251478 259224 260792 291627 293391 333288 335304 388836 391188 502956 583254 586782 777672 782376 880173 1005912 1166508 1173564 1760346 2333016 2347128 3520692 7041384 7185751 14371502 21557253 28743004 43114506 50300257 57486008 64671759 86229012 100600514 129343518 150900771 172458024 194015277 201201028 258687036 301801542 388030554 402402056 452702313 517374072 603603084 776061108 905404626 1207206168 1358106939 1552122216 1810809252 2716213878 3621618504 5432427756 10864855512