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81378402361 = 2327921572
BaseRepresentation
bin100101111001010000…
…1111110000000111001
321210001101211011120021
41023302201332000321
52313130332333421
6101215033330441
75610430002244
oct1136241760071
9253041734507
1081378402361
113156aa94193
1213931566a21
13789b890c09
143d1dc6825b
1521b44e9341
hex12f287e039

81378402361 has 27 divisors (see below), whose sum is σ = 86713190991. Its totient is φ = 76365370224.

The previous prime is 81378402353. The next prime is 81378402379. The reversal of 81378402361 is 16320487318.

The square root of 81378402361 is 285269.

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., 23853258025 + 57525144336 = 154445^2 + 239844^2 .

It is not a de Polignac number, because 81378402361 - 23 = 81378402353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81378402341) 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, 518333695 + ... + 518333851.

Almost surely, 281378402361 is an apocalyptic number.

81378402361 is the 285269-th square number.

81378402361 is the 142635-th centered octagonal number.

It is an amenable number.

81378402361 is a deficient number, since it is larger than the sum of its proper divisors (5334788630).

81378402361 is an frugal number, since it uses more digits than its factorization.

81378402361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

Adding to 81378402361 its reverse (16320487318), we get a palindrome (97698889679).

The spelling of 81378402361 in words is "eighty-one billion, three hundred seventy-eight million, four hundred two thousand, three hundred sixty-one".

Divisors: 1 23 79 157 529 1817 3611 6241 12403 24649 41791 83053 143543 285269 566927 979837 1947271 3301489 6561187 13039321 22536251 44787233 153834409 518333773 1030106359 3538191407 81378402361