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38183114025 = 32527218612
BaseRepresentation
bin100011100011111001…
…000001010100101001
310122120001021011111100
4203203321001110221
51111144334122100
625312512352013
72521133054100
oct434371012451
9118501234440
1038183114025
1115214410791
127497545609
1337a682c5c4
141bc317b037
15ed7245400
hex8e3e41529

38183114025 has 81 divisors (see below), whose sum is σ = 79598718693. Its totient is φ = 17445758400.

The previous prime is 38183113999. The next prime is 38183114087. The reversal of 38183114025 is 52041138183.

The square root of 38183114025 is 195405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23224845609 + 14958268416 = 152397^2 + 122304^2 .

It is not a de Polignac number, because 38183114025 - 219 = 38182589737 is a prime.

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, 20516595 + ... + 20518455.

Almost surely, 238183114025 is an apocalyptic number.

38183114025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38183114025 is the 195405-th square number.

38183114025 is the 97703-rd centered octagonal number.

It is an amenable number.

38183114025 is an abundant number, since it is smaller than the sum of its proper divisors (41415604668).

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

38183114025 is an equidigital number, since it uses as much as digits as its factorization.

38183114025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 38183114025 by its sum of digits (36), we get a square (1374592104900 = 11724302).

The spelling of 38183114025 in words is "thirty-eight billion, one hundred eighty-three million, one hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 1861 2205 3675 5583 9305 11025 13027 16749 27915 39081 46525 65135 83745 91189 117243 139575 195405 273567 325675 418725 455945 586215 820701 977025 1367835 2279725 2931075 3463321 4103505 6839175 10389963 17316605 20517525 24243247 31169889 51949815 72729741 86583025 121216235 155849445 169702729 218189223 259749075 363648705 509108187 606081175 779247225 848513645 1090946115 1527324561 1818243525 2545540935 4242568225 5454730575 7636622805 12727704675 38183114025