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81563632164 = 22327615305987
BaseRepresentation
bin100101111110110010…
…0100100001000100100
321210112022100211002100
41023331210210020210
52314020242212124
6101245251412100
75615136301650
oct1137544441044
9253468324070
1081563632164
11316555a9073
12139835b4030
1378cb076351
143d3a6c3a60
1521c58d71c9
hex12fd924224

81563632164 has 72 divisors (see below), whose sum is σ = 239491074368. Its totient is φ = 22921859520.

The previous prime is 81563632147. The next prime is 81563632201. The reversal of 81563632164 is 46123636518.

81563632164 is a `hidden beast` number, since 8 + 1 + 5 + 6 + 3 + 632 + 1 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2637622 + ... + 2668365.

Almost surely, 281563632164 is an apocalyptic number.

81563632164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81563632164 is an abundant number, since it is smaller than the sum of its proper divisors (157927442204).

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

81563632164 is a wasteful number, since it uses less digits than its factorization.

81563632164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306065 (or 5306060 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 81563632164 in words is "eighty-one billion, five hundred sixty-three million, six hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 5124 7686 15372 5305987 10611974 15917961 21223948 31835922 37141909 47753883 63671844 74283818 95507766 111425727 148567636 191015532 222851454 323665207 334277181 445702908 647330414 668554362 970995621 1294660828 1337108724 1941991242 2265656449 2912986863 3883982484 4531312898 5825973726 6796969347 9062625796 11651947452 13593938694 20390908041 27187877388 40781816082 81563632164