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92640488161 = 13418012
BaseRepresentation
bin101011001000111001…
…1011010101011100001
322212010021102101221011
41112101303122223201
53004211431110121
6110320343100521
76456501104524
oct1262163325341
9285107371834
1092640488161
113631a15aa11
1215b55141741
138974ba0000
1446ab87cbbb
1526230a87e1
hex1591cdaae1

92640488161 has 15 divisors (see below), whose sum is σ = 100416014223. Its totient is φ = 85466815200.

The previous prime is 92640488131. The next prime is 92640488189. The reversal of 92640488161 is 16188404629.

It is a happy number.

The square root of 92640488161 is 304369.

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

It can be written as a sum of positive squares in 7 ways, for example, as 77746726561 + 14893761600 = 278831^2 + 122040^2 .

It is not a de Polignac number, because 92640488161 - 27 = 92640488033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92640488111) 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 14 ways as a sum of consecutive naturals, for example, 51437461 + ... + 51439261.

Almost surely, 292640488161 is an apocalyptic number.

92640488161 is the 304369-th square number.

92640488161 is the 152185-th centered octagonal number.

It is an amenable number.

92640488161 is a deficient number, since it is larger than the sum of its proper divisors (7775526062).

92640488161 is an frugal number, since it uses more digits than its factorization.

92640488161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

Multiplying 92640488161 by its sum of digits (49), we get a square (4539383919889 = 21305832).

The spelling of 92640488161 in words is "ninety-two billion, six hundred forty million, four hundred eighty-eight thousand, one hundred sixty-one".

Divisors: 1 13 169 1801 2197 23413 28561 304369 3243601 3956797 42166813 51438361 548168569 7126191397 92640488161