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16121274016644 = 22324183389338287
BaseRepresentation
bin1110101010011000011011…
…0011111010001110000100
32010002011211022020011111200
43222212012303322032010
54103112332122013034
654142002215102500
73252503125112226
oct352460663721604
963064738204450
1016121274016644
115155aa29a1105
1219844b2071a30
138cc2ca610984
143da3b9540416
151ce540b3ca99
hexea986cfa384

16121274016644 has 144 divisors (see below), whose sum is σ = 42356607471360. Its totient is φ = 5166195540480.

The previous prime is 16121274016637. The next prime is 16121274016663. The reversal of 16121274016644 is 44661047212161.

16121274016644 is a `hidden beast` number, since 1 + 6 + 121 + 27 + 401 + 66 + 44 = 666.

16121274016644 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 16121274016644.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47486469 + ... + 47824755.

It is an arithmetic number, because the mean of its divisors is an integer number (294143107440).

Almost surely, 216121274016644 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 16121274016644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21178303735680).

16121274016644 is an abundant number, since it is smaller than the sum of its proper divisors (26235333454716).

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

16121274016644 is a wasteful number, since it uses less digits than its factorization.

16121274016644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338810 (or 338805 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16121274016644 in words is "sixteen trillion, one hundred twenty-one billion, two hundred seventy-four million, sixteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 83 123 164 166 246 249 332 369 389 492 498 738 747 778 996 1167 1476 1494 1556 2334 2988 3403 3501 4668 6806 7002 10209 13612 14004 15949 20418 30627 31898 32287 40836 47847 61254 63796 64574 95694 96861 122508 129148 143541 191388 193722 287082 290583 338287 387444 574164 581166 676574 1014861 1162332 1323767 1353148 2029722 2647534 3044583 3971301 4059444 5295068 6089166 7942602 11913903 12178332 13869767 15885204 23827806 27739534 28077821 41609301 47655612 55479068 56155642 83218602 84233463 112311284 124827903 131593643 166437204 168466926 249655806 252700389 263187286 336933852 394780929 499311612 505400778 526374572 789561858 1010801556 1151190661 1184342787 1579123716 2302381322 2368685574 3453571983 4604762644 4737371148 5395339363 6907143966 10360715949 10790678726 10922272369 13814287932 16186018089 20721431898 21581357452 21844544738 32372036178 32766817107 41442863796 43689089476 48558054267 64744072356 65533634214 97116108534 98300451321 131067268428 194232217068 196600902642 393201805284 447813167129 895626334258 1343439501387 1791252668516 2686879002774 4030318504161 5373758005548 8060637008322 16121274016644