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186135296356 = 222328321132
BaseRepresentation
bin1010110101011010000…
…1110011100101100100
3122210110002101202122001
42231112201303211210
511022201113440411
6221302005215044
716306414625332
oct2552641634544
9583402352561
10186135296356
1171a37582139
12300a8401484
1314724a61719
14901a986b52
154c96168dc1
hex2b56873964

186135296356 has 81 divisors (see below), whose sum is σ = 347744158489. Its totient is φ = 87170376832.

The previous prime is 186135296351. The next prime is 186135296359. The reversal of 186135296356 is 653692531681.

The square root of 186135296356 is 431434.

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

186135296356 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3279852900 + 182855443456 = 57270^2 + 427616^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 186135296297 and 186135296306.

It is not an unprimeable number, because it can be changed into a prime (186135296351) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1647214956 + ... + 1647215068.

Almost surely, 2186135296356 is an apocalyptic number.

186135296356 is the 431434-th square number.

It is an amenable number.

186135296356 is a deficient number, since it is larger than the sum of its proper divisors (161608862133).

186135296356 is an equidigital number, since it uses as much as digits as its factorization.

186135296356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 186135296356 in words is "one hundred eighty-six billion, one hundred thirty-five million, two hundred ninety-six thousand, three hundred fifty-six".

Divisors: 1 2 4 23 46 83 92 113 166 226 332 452 529 1058 1909 2116 2599 3818 5198 6889 7636 9379 10396 12769 13778 18758 25538 27556 37516 43907 51076 59777 87814 119554 158447 175628 215717 239108 293687 316894 431434 587374 633788 778457 862868 1059827 1174748 1556914 2119654 3113828 3644281 4239308 4961491 6754801 7288562 9922982 13509602 14577124 17904511 19845964 24376021 27019204 35809022 48752042 71618044 87965641 97504084 175931282 351862564 411803753 560648483 823607506 1121296966 1647215012 2023209743 2242593932 4046419486 8092838972 46533824089 93067648178 186135296356