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168082780441 = 281214592
BaseRepresentation
bin1001110010001010000…
…0111011000100011001
3121001211222101221022111
42130202200323010121
510223213142433231
6205114405152321
715100151026522
oct2344240730431
9531758357274
10168082780441
11653133907a4
12286aa6bb6a1
1312b089a4844
1481c71a9849
15458b38a4b1
hex272283b119

168082780441 has 9 divisors (see below), whose sum is σ = 168798763263. Its totient is φ = 167369826960.

The previous prime is 168082780423. The next prime is 168082780469. The reversal of 168082780441 is 144087280861.

The square root of 168082780441 is 409979.

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

It can be written as a sum of positive squares in only one way, i.e., 113588546841 + 54494233600 = 337029^2 + 233440^2 .

It is not a de Polignac number, because 168082780441 - 211 = 168082778393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168082780141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115203370 + ... + 115204828.

Almost surely, 2168082780441 is an apocalyptic number.

168082780441 is the 409979-th square number.

168082780441 is the 204990-th centered octagonal number.

It is an amenable number.

168082780441 is a deficient number, since it is larger than the sum of its proper divisors (715982822).

168082780441 is an frugal number, since it uses more digits than its factorization.

168082780441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

Multiplying 168082780441 by its sum of digits (49), we get a square (8236056241609 = 28698532).

The spelling of 168082780441 in words is "one hundred sixty-eight billion, eighty-two million, seven hundred eighty thousand, four hundred forty-one".

Divisors: 1 281 1459 78961 409979 2128681 115204099 598159361 168082780441