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145806367716 = 223223227672
BaseRepresentation
bin1000011111001010111…
…1001001101111100100
3111221100111101220212100
42013302233021233210
54342102412231331
6150552120252100
713351134451032
oct2076257115744
9457314356770
10145806367716
1156921991149
1224312311030
13109987c2c39
1470b2835552
153bd585bae6
hex21f2bc9be4

145806367716 has 81 divisors (see below), whose sum is σ = 385426725411. Its totient is φ = 46472185584.

The previous prime is 145806367699. The next prime is 145806367741. The reversal of 145806367716 is 617763608541.

The square root of 145806367716 is 381846.

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

145806367716 is a `hidden beast` number, since 1 + 458 + 0 + 63 + 67 + 71 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52693365 + ... + 52696131.

Almost surely, 2145806367716 is an apocalyptic number.

145806367716 is the 381846-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145806367716

145806367716 is an abundant number, since it is smaller than the sum of its proper divisors (239620357695).

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

145806367716 is an equidigital number, since it uses as much as digits as its factorization.

145806367716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 145806367716 in words is "one hundred forty-five billion, eight hundred six million, three hundred sixty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 2767 3174 4761 5534 6348 8301 9522 11068 16602 19044 24903 33204 49806 63641 99612 127282 190923 254564 381846 572769 763692 1145538 1463743 2291076 2927486 4391229 5854972 7656289 8782458 13173687 15312578 17564916 22968867 26347374 30625156 45937734 52694748 68906601 91875468 137813202 176094647 275626404 352189294 528283941 704378588 1056567882 1584851823 2113135764 3169703646 4050176881 6339407292 8100353762 12150530643 16200707524 24301061286 36451591929 48602122572 72903183858 145806367716