Search a number
-
+
38781434025 = 32521710138937
BaseRepresentation
bin100100000111100011…
…011011100010101001
310201002202002222020100
4210013203123202221
51113411021342100
625452124420013
72542016515215
oct440743334251
9121082088210
1038781434025
11154a1121424
1276239a7609
13387078a5c9
141c3c807945
15101ea30400
hex9078db8a9

38781434025 has 36 divisors (see below), whose sum is σ = 73547856252. Its totient is φ = 19466757120.

The previous prime is 38781433981. The next prime is 38781434119. The reversal of 38781434025 is 52043418783.

38781434025 is a `hidden beast` number, since 38 + 78 + 143 + 402 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 530288784 + 38251145241 = 23028^2 + 195579^2 .

It is not a de Polignac number, because 38781434025 - 29 = 38781433513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5065644 + ... + 5073293.

It is an arithmetic number, because the mean of its divisors is an integer number (2042996007).

Almost surely, 238781434025 is an apocalyptic number.

It is an amenable number.

38781434025 is a deficient number, since it is larger than the sum of its proper divisors (34766422227).

38781434025 is a wasteful number, since it uses less digits than its factorization.

38781434025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138970 (or 10138962 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 38781434025 in words is "thirty-eight billion, seven hundred eighty-one million, four hundred thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 10138937 30416811 50694685 91250433 152084055 172361929 253473425 456252165 517085787 760420275 861809645 1551257361 2281260825 2585428935 4309048225 7756286805 12927144675 38781434025