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677447332415464 = 231361859124313759
BaseRepresentation
bin1001101000001000100111111…
…1100110100100011111101000
310021211122022222101100010110111
42122002021333212210133220
51202243244114044243324
610400451001431424104
7262456645300052662
oct23202117746443750
93254568871303414
10677447332415464
11186945889151036
1263b919b8b25034
1323101017672ac0
14bd408a9427532
15534be5e370794
hex268227f9a47e8

677447332415464 has 64 divisors (see below), whose sum is σ = 1391966033472000. Its totient is φ = 307184268568320.

The previous prime is 677447332415453. The next prime is 677447332415467. The reversal of 677447332415464 is 464514233744776.

677447332415464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 677447332415464.

It is not an unprimeable number, because it can be changed into a prime (677447332415467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56707384 + ... + 67606375.

It is an arithmetic number, because the mean of its divisors is an integer number (21749469273000).

Almost surely, 2677447332415464 is an apocalyptic number.

It is an amenable number.

677447332415464 is an abundant number, since it is smaller than the sum of its proper divisors (714518701056536).

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

677447332415464 is a wasteful number, since it uses less digits than its factorization.

677447332415464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124314698 (or 124314694 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 67.

The spelling of 677447332415464 in words is "six hundred seventy-seven trillion, four hundred forty-seven billion, three hundred thirty-two million, four hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 859 1586 1718 3172 3436 6344 6872 11167 22334 44668 52399 89336 104798 209596 419192 681187 1362374 2724748 5449496 124313759 248627518 497255036 994510072 1616078867 3232157734 6464315468 7583139299 12928630936 15166278598 30332557196 60665114392 98580810887 106785518981 197161621774 213571037962 394323243548 427142075924 788646487096 854284151848 1388211746753 2776423493506 5552846987012 6513916657841 11105693974024 13027833315682 26055666631364 52111333262728 84680916551933 169361833103866 338723666207732 677447332415464