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136927381369 = 3727321372
BaseRepresentation
bin111111110000110000…
…0100000011101111001
3111002102201000200101011
41333201200200131321
54220411402200434
6142523100553521
712615121352332
oct1774140403571
9432381020334
10136927381369
1153085a342a9
12226548528a1
13cbb213306c
1468ad521289
1538660d5e64
hex1fe1820779

136927381369 has 27 divisors (see below), whose sum is σ = 143731411047. Its totient is φ = 130442482944.

The previous prime is 136927381351. The next prime is 136927381411. The reversal of 136927381369 is 963183729631.

The square root of 136927381369 is 370037.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4131275625 + 132796105744 = 64275^2 + 364412^2 .

It is not a de Polignac number, because 136927381369 - 229 = 136390510457 is a prime.

It is a super-2 number, since 2×1369273813692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136927381469) 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, 999469869 + ... + 999470005.

Almost surely, 2136927381369 is an apocalyptic number.

136927381369 is the 370037-th square number.

136927381369 is the 185019-th centered octagonal number.

It is an amenable number.

136927381369 is a deficient number, since it is larger than the sum of its proper divisors (6804029678).

136927381369 is an frugal number, since it uses more digits than its factorization.

136927381369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 58.

The spelling of 136927381369 in words is "one hundred thirty-six billion, nine hundred twenty-seven million, three hundred eighty-one thousand, three hundred sixty-nine".

Divisors: 1 37 73 137 1369 2701 5069 5329 10001 18769 99937 187553 197173 370037 694453 730073 1370137 7295401 13691369 25694761 27012701 50695069 100020001 999469937 1875717553 3700740037 136927381369