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38136231225 = 32524722772
BaseRepresentation
bin100011100001000110…
…001011010100111001
310122102210001021101100
4203201012023110321
51111100333344400
625304115442013
72520023421411
oct434106132471
9118383037340
1038136231225
111519a9a9a74
1274838b6309
133799bc5cc1
141bbac55641
15ed3084100
hex8e118b539

38136231225 has 81 divisors (see below), whose sum is σ = 70043333997. Its totient is φ = 19834706880.

The previous prime is 38136231191. The next prime is 38136231241. The reversal of 38136231225 is 52213263183.

The square root of 38136231225 is 195285.

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

38136231225 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 623 + 1 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8739071289 + 29397159936 = 93483^2 + 171456^2 .

It is not a de Polignac number, because 38136231225 - 229 = 37599360313 is a prime.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 38136231225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 137675787 + ... + 137676063.

Almost surely, 238136231225 is an apocalyptic number.

38136231225 is the 195285-th square number.

38136231225 is the 97643-rd centered octagonal number.

It is an amenable number.

38136231225 is a deficient number, since it is larger than the sum of its proper divisors (31907102772).

38136231225 is an equidigital number, since it uses as much as digits as its factorization.

38136231225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Multiplying 38136231225 by its sum of digits (36), we get a square (1372904324100 = 11717102).

It can be divided in two parts, 38136 and 231225, that added together give a square (269361 = 5192).

The spelling of 38136231225 in words is "thirty-eight billion, one hundred thirty-six million, two hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 277 423 705 831 1175 1385 2115 2209 2493 3525 4155 6627 6925 10575 11045 12465 13019 19881 20775 33135 39057 55225 62325 65095 76729 99405 117171 165675 195285 230187 325475 383645 497025 585855 611893 690561 976425 1150935 1835679 1918225 2929275 3059465 3452805 3606263 5507037 5754675 9178395 10818789 15297325 17264025 18031315 27535185 32456367 45891975 54093945 90156575 137675925 162281835 169494361 270469725 508483083 811409175 847471805 1525449249 2542415415 4237359025 7627246245 12712077075 38136231225