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38538793969 = 132151012
BaseRepresentation
bin100011111001000101…
…110101001111110001
310200110211112120122121
4203321011311033301
51112411412401334
625412100034241
72533012225624
oct437105651761
9120424476577
1038538793969
1115387165355
127576692981
133832423c00
141c184c5dbb
1510085a1db4
hex8f91753f1

38538793969 has 9 divisors (see below), whose sum is σ = 41734120449. Its totient is φ = 35571915600.

The previous prime is 38538793961. The next prime is 38538793991. The reversal of 38538793969 is 96939783583.

The square root of 38538793969 is 196313.

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 20499080625 + 18039713344 = 143175^2 + 134312^2 .

It is not a de Polignac number, because 38538793969 - 23 = 38538793961 is a prime.

It is a super-2 number, since 2×385387939692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38538793898 and 38538793907.

It is not an unprimeable number, because it can be changed into a prime (38538793961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2544519 + ... + 2559619.

Almost surely, 238538793969 is an apocalyptic number.

38538793969 is the 196313-rd square number.

38538793969 is the 98157-th centered octagonal number.

It is an amenable number.

38538793969 is a deficient number, since it is larger than the sum of its proper divisors (3195326480).

38538793969 is an frugal number, since it uses more digits than its factorization.

38538793969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30228 (or 15114 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 70.

The spelling of 38538793969 in words is "thirty-eight billion, five hundred thirty-eight million, seven hundred ninety-three thousand, nine hundred sixty-nine".

Divisors: 1 13 169 15101 196313 2552069 228040201 2964522613 38538793969