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18695366361 = 32721723832
BaseRepresentation
bin10001011010010101…
…001010011011011001
31210020220122000100100
4101122111022123121
5301242003210421
612331042330013
71231200664200
oct213225123331
953226560310
1018695366361
117a24057501
123759059909
1319bc309879
14c94d1a237
15746462c26
hex45a54a6d9

18695366361 has 81 divisors (see below), whose sum is σ = 33457195551. Its totient is φ = 10028398464.

The previous prime is 18695366329. The next prime is 18695366387. The reversal of 18695366361 is 16366359681.

The square root of 18695366361 is 136731.

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

18695366361 is a `hidden beast` number, since 18 + 69 + 536 + 6 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14555216025 + 4140150336 = 120645^2 + 64344^2 .

It is not a de Polignac number, because 18695366361 - 25 = 18695366329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18695366298 and 18695366307.

It is not an unprimeable number, because it can be changed into a prime (18695368361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48812776 + ... + 48813158.

Almost surely, 218695366361 is an apocalyptic number.

18695366361 is the 136731-st square number.

18695366361 is the 68366-th centered octagonal number.

It is an amenable number.

18695366361 is a deficient number, since it is larger than the sum of its proper divisors (14761829190).

18695366361 is an equidigital number, since it uses as much as digits as its factorization.

18695366361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 410 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 18695366361 in words is "eighteen billion, six hundred ninety-five million, three hundred sixty-six thousand, three hundred sixty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 357 383 441 833 867 1071 1149 2023 2499 2601 2681 3447 6069 6511 7497 8043 14161 18207 18767 19533 24129 42483 45577 56301 58599 110687 127449 136731 146689 168903 319039 332061 410193 440067 774809 957117 996183 1026823 1320201 2324427 2493713 2871351 3080469 5423663 6973281 7187761 7481139 9241407 16270989 17455991 21563283 22443417 42393121 48812967 52367973 64689849 122191937 127179363 157103919 296751847 366575811 381538089 890255541 1099727433 2077262929 2670766623 6231788787 18695366361