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38072931841 = 723221241229
BaseRepresentation
bin100011011101010100…
…101101011000000001
310122021100221022221201
4203131110231120001
51110433132304331
625253535021201
72515324403200
oct433524553001
9118240838851
1038072931841
11151681a522a
12746666a801
133789a62349
141bb2699237
15ecc72da61
hex8dd52d601

38072931841 has 12 divisors (see below), whose sum is σ = 44302854420. Its totient is φ = 32623674720.

The previous prime is 38072931833. The next prime is 38072931881. The reversal of 38072931841 is 14813927083.

It can be written as a sum of positive squares in 2 ways, for example, as 12275753616 + 25797178225 = 110796^2 + 160615^2 .

It is not a de Polignac number, because 38072931841 - 23 = 38072931833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38072931791 and 38072931800.

It is not an unprimeable number, because it can be changed into a prime (38072931881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37215 + ... + 278443.

It is an arithmetic number, because the mean of its divisors is an integer number (3691904535).

Almost surely, 238072931841 is an apocalyptic number.

It is an amenable number.

38072931841 is a deficient number, since it is larger than the sum of its proper divisors (6229922579).

38072931841 is a wasteful number, since it uses less digits than its factorization.

38072931841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244464 (or 244457 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 38072931841 in words is "thirty-eight billion, seventy-two million, nine hundred thirty-one thousand, eight hundred forty-one".

Divisors: 1 7 49 3221 22547 157829 241229 1688603 11820221 776998609 5438990263 38072931841