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86023156512 = 2533742175743
BaseRepresentation
bin101000000011101100…
…0010011001100100000
322020001002202010102210
41100013120103030200
52402133412002022
6103303554442120
76133506523446
oct1200730231440
9266032663383
1086023156512
1133533913787
1214808b93340
13815bc4a957
144240a94b96
15238717ca0c
hex1407613320

86023156512 has 96 divisors (see below), whose sum is σ = 232009166592. Its totient is φ = 27887929344.

The previous prime is 86023156511. The next prime is 86023156519. The reversal of 86023156512 is 21565132068.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×860231565122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86023156511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14975913 + ... + 14981655.

It is an arithmetic number, because the mean of its divisors is an integer number (2416762152).

Almost surely, 286023156512 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 86023156512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116004583296).

86023156512 is an abundant number, since it is smaller than the sum of its proper divisors (145986010080).

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

86023156512 is a wasteful number, since it uses less digits than its factorization.

86023156512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 86023156512 in words is "eighty-six billion, twenty-three million, one hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 4217 5743 8434 11486 12651 16868 17229 22972 25302 33736 34458 45944 50604 67472 68916 91888 101208 134944 137832 156029 183776 202416 212491 275664 312058 404832 424982 468087 551328 624116 637473 849964 936174 1248232 1274946 1699928 1872348 2496464 2549892 3399856 3744696 4992928 5099784 6799712 7489392 10199568 14978784 20399136 24218231 48436462 72654693 96872924 145309386 193745848 290618772 387491696 581237544 774983392 896074547 1162475088 1792149094 2324950176 2688223641 3584298188 5376447282 7168596376 10752894564 14337192752 21505789128 28674385504 43011578256 86023156512