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16162646434144 = 257313307170381
BaseRepresentation
bin1110101100110010100011…
…0011001010000101100000
32010020010121121201201212221
43223030220303022011200
54104302044441343034
654213003421400424
73255466305626230
oct353145063120540
963203547651787
1016162646434144
1151715a3609791
121990519709114
13903191b051a2
143dc3c20bdcc0
151d0662d6bbb4
hexeb328cca160

16162646434144 has 96 divisors (see below), whose sum is σ = 37540718272512. Its totient is φ = 6703103808000.

The previous prime is 16162646434091. The next prime is 16162646434163. The reversal of 16162646434144 is 44143464626161.

It is a super-2 number, since 2×161626464341442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16162646434091 and 16162646434100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229609834 + ... + 229680214.

It is an arithmetic number, because the mean of its divisors is an integer number (391049148672).

Almost surely, 216162646434144 is an apocalyptic number.

16162646434144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16162646434144 is an abundant number, since it is smaller than the sum of its proper divisors (21378071838368).

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

16162646434144 is a wasteful number, since it uses less digits than its factorization.

16162646434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103500 (or 103492 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 52.

The spelling of 16162646434144 in words is "sixteen trillion, one hundred sixty-two billion, six hundred forty-six million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 33071 66142 70381 132284 140762 231497 264568 281524 462994 492667 529136 563048 925988 985334 1025201 1058272 1126096 1851976 1970668 2050402 2181811 2252192 3703952 3941336 4100804 4363622 7176407 7407904 7882672 8201608 8727244 14352814 15272677 15765344 16403216 17454488 28705628 30545354 32806432 34908976 57411256 61090708 69817952 114822512 122181416 229645024 244362832 488725664 2327570051 4655140102 9310280204 16292990357 18620560408 32585980714 37241120816 65171961428 72154671581 74482241632 130343922856 144309343162 260687845712 288618686324 505082701067 521375691424 577237372648 1010165402134 1154474745296 2020330804268 2308949490592 4040661608536 8081323217072 16162646434144