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81361413 = 327253592
BaseRepresentation
bin1001101100101…
…11101000000101
312200002120212200
410312113220011
5131312031123
612023505113
72005363200
oct466275005
9180076780
1081361413
1141a21041
12232b8199
1313b18c63
14ab3c937
157222143
hex4d97a05

81361413 has 54 divisors (see below), whose sum is σ = 141689574. Its totient is φ = 44841888.

The previous prime is 81361411. The next prime is 81361421. The reversal of 81361413 is 31416318.

It can be written as a sum of positive squares in only one way, i.e., 75220929 + 6140484 = 8673^2 + 2478^2 .

It is not a de Polignac number, because 81361413 - 21 = 81361411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81361411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1378978 + ... + 1379036.

It is an arithmetic number, because the mean of its divisors is an integer number (2623881).

Almost surely, 281361413 is an apocalyptic number.

It is an amenable number.

81361413 is a deficient number, since it is larger than the sum of its proper divisors (60328161).

81361413 is a wasteful number, since it uses less digits than its factorization.

81361413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 122 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 81361413 is about 9020.0561528186. The cubic root of 81361413 is about 433.3174320924.

It can be divided in two parts, 813 and 61413, that added together give a palindrome (62226).

The spelling of 81361413 in words is "eighty-one million, three hundred sixty-one thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 49 53 59 63 147 159 177 371 413 441 477 531 1113 1239 2597 2891 3127 3339 3481 3717 7791 8673 9381 10443 21889 23373 24367 26019 28143 31329 65667 73101 153223 170569 184493 197001 219303 459669 511707 553479 1291451 1379007 1535121 1660437 3874353 9040157 11623059 27120471 81361413