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38626792369 = 11217210512
BaseRepresentation
bin100011111110010101…
…100001001110110001
310200200222010100202121
4203332111201032301
51113101424323434
625424522114241
72535131214004
oct437625411661
9120628110677
1038626792369
11154218a9900
1275a004b981
133847724a79
141c2607153b
1510111857b4
hex8fe5613b1

38626792369 has 27 divisors (see below), whose sum is σ = 45144917643. Its totient is φ = 33018216000.

The previous prime is 38626792361. The next prime is 38626792397. The reversal of 38626792369 is 96329762683.

It is a happy number.

The square root of 38626792369 is 196537.

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

It can be written as a sum of positive squares in only one way, i.e., 30072762225 + 8554030144 = 173415^2 + 92488^2 .

It is not a de Polignac number, because 38626792369 - 23 = 38626792361 is a prime.

It is a super-2 number, since 2×386267923692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38626792361) 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, 36751894 + ... + 36752944.

Almost surely, 238626792369 is an apocalyptic number.

38626792369 is the 196537-th square number.

38626792369 is the 98269-th centered octagonal number.

It is an amenable number.

38626792369 is a deficient number, since it is larger than the sum of its proper divisors (6518125274).

38626792369 is an equidigital number, since it uses as much as digits as its factorization.

38626792369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 1079 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 61.

The spelling of 38626792369 in words is "thirty-eight billion, six hundred twenty-six million, seven hundred ninety-two thousand, three hundred sixty-nine".

Divisors: 1 11 17 121 187 289 1051 2057 3179 11561 17867 34969 127171 196537 303739 1104601 2161907 3341129 12150611 18778217 36752419 133656721 206560387 319229689 2272164257 3511526579 38626792369