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19451354716161 = 38544492
BaseRepresentation
bin1000110110000110111110…
…00101101001100000000001
32112212112100100120100000000
410123003133011221200001
510022142333301404121
6105211455021350213
74045212463036254
oct433033705514001
975775310510000
1019451354716161
11621a300706925
122221977408369
13ab1340c7b154
144b36445cd09b
1523ae937aa526
hex11b0df169801

19451354716161 has 27 divisors (see below), whose sum is σ = 29176085569891. Its totient is φ = 12967331650848.

The previous prime is 19451354716159. The next prime is 19451354716181. The reversal of 19451354716161 is 16161745315491.

The square root of 19451354716161 is 4410369.

It is a perfect power (a square), and thus also a powerful number.

19451354716161 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 1 + 3 + 5 + 471 + 6 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18568506556161 + 882848160000 = 4309119^2 + 939600^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 19451354716161 - 21 = 19451354716159 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19451354716098 and 19451354716107.

It is not an unprimeable number, because it can be changed into a prime (19451354716141) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 357212665 + ... + 357267113.

Almost surely, 219451354716161 is an apocalyptic number.

19451354716161 is the 4410369-th square number.

19451354716161 is the 2205185-th centered octagonal number.

It is an amenable number.

19451354716161 is a deficient number, since it is larger than the sum of its proper divisors (9724730853730).

19451354716161 is an frugal number, since it uses more digits than its factorization.

19451354716161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108922 (or 54452 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 19451354716161 in words is "nineteen trillion, four hundred fifty-one billion, three hundred fifty-four million, seven hundred sixteen thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 2187 6561 54449 163347 490041 1470123 4410369 13231107 39693321 119079963 357239889 2964693601 8894080803 26682242409 80046727227 240140181681 720420545043 2161261635129 6483784905387 19451354716161