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38097964969 = 192102732
BaseRepresentation
bin100011011110110100…
…001100111110101001
310122100010001010221121
4203132310030332221
51111011034334334
625300231335241
72516050234111
oct433664147651
9118303033847
1038097964969
1115180342a69
127472b21521
133791cb864c
141bb5b34041
15ecea25db4
hex8ded0cfa9

38097964969 has 9 divisors (see below), whose sum is σ = 40212569943. Its totient is φ = 36089295552.

The previous prime is 38097964967. The next prime is 38097964979. The reversal of 38097964969 is 96946979083.

The square root of 38097964969 is 195187.

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., 8544229225 + 29553735744 = 92435^2 + 171912^2 .

It is not a de Polignac number, because 38097964969 - 21 = 38097964967 is a prime.

It is a super-2 number, since 2×380979649692 (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 = 38097964898 and 38097964907.

It is not an unprimeable number, because it can be changed into a prime (38097964967) 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, 3703417 + ... + 3713689.

It is an arithmetic number, because the mean of its divisors is an integer number (4468063327).

Almost surely, 238097964969 is an apocalyptic number.

38097964969 is the 195187-th square number.

38097964969 is the 97594-th centered octagonal number.

It is an amenable number.

38097964969 is a deficient number, since it is larger than the sum of its proper divisors (2114604974).

38097964969 is an frugal number, since it uses more digits than its factorization.

38097964969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20584 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 70.

The spelling of 38097964969 in words is "thirty-eight billion, ninety-seven million, nine hundred sixty-four thousand, nine hundred sixty-nine".

Divisors: 1 19 361 10273 195187 3708553 105534529 2005156051 38097964969