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81413649765 = 32571913602949
BaseRepresentation
bin100101111010010100…
…0011011010101100101
321210010212010220220200
41023310220123111211
52313213343243030
6101222333021113
75611335414330
oct1136450332545
9253125126820
1081413649765
1131588979078
1213941324799
1378a5c82476
143d24801617
1521b765cd60
hex12f4a1b565

81413649765 has 48 divisors (see below), whose sum is σ = 169764816000. Its totient is φ = 35258841216.

The previous prime is 81413649739. The next prime is 81413649787. The reversal of 81413649765 is 56794631418.

81413649765 is a `hidden beast` number, since 8 + 14 + 136 + 497 + 6 + 5 = 666.

It is not a de Polignac number, because 81413649765 - 27 = 81413649637 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6795490 + ... + 6807459.

It is an arithmetic number, because the mean of its divisors is an integer number (3536767000).

Almost surely, 281413649765 is an apocalyptic number.

It is an amenable number.

81413649765 is an abundant number, since it is smaller than the sum of its proper divisors (88351166235).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81413649765 is a wasteful number, since it uses less digits than its factorization.

81413649765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13602986 (or 13602983 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 81413649765 in words is "eighty-one billion, four hundred thirteen million, six hundred forty-nine thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 13602949 40808847 68014745 95220643 122426541 204044235 258456031 285661929 476103215 612132705 775368093 856985787 1292280155 1428309645 1809192217 2326104279 3876840465 4284928935 5427576651 9045961085 11630521395 16282729953 27137883255 81413649765