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45547394752161 = 321721323312
BaseRepresentation
bin10100101101100110101000…
…10010001101111010100001
312222021021210020211201102100
422112303110102031322201
521432222031024032121
6240512103450041013
712410455621322331
oct1226632422157241
9188237706751370
1045547394752161
11135705a5a12895
125137482419169
131c55140889a33
14b367117a90c1
1553ebd3d4b026
hex296cd448dea1

45547394752161 has 27 divisors (see below), whose sum is σ = 69888898938963. Its totient is φ = 28578541527360.

The previous prime is 45547394752151. The next prime is 45547394752169. The reversal of 45547394752161 is 16125749374554.

The square root of 45547394752161 is 6748881.

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

45547394752161 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 7 + 3 + 9 + 47 + 521 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35460774461025 + 10086620291136 = 5954895^2 + 3175944^2 .

It is not a de Polignac number, because 45547394752161 - 223 = 45547386363553 is a prime.

It is a super-2 number, since 2×455473947521612 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45547394752169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 344126766 + ... + 344259096.

Almost surely, 245547394752161 is an apocalyptic number.

45547394752161 is the 6748881-st square number.

45547394752161 is the 3374441-st centered octagonal number.

It is an amenable number.

45547394752161 is a deficient number, since it is larger than the sum of its proper divisors (24341504186802).

45547394752161 is an frugal number, since it uses more digits than its factorization.

45547394752161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264702 (or 132351 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 45547394752161 in words is "forty-five trillion, five hundred forty-seven billion, three hundred ninety-four million, seven hundred fifty-two thousand, one hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 132331 396993 1190979 2249627 6748881 20246643 38243659 114730977 344192931 17511493561 52534480683 157603442049 297695390537 893086171611 2679258514833 5060821639129 15182464917387 45547394752161