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38151844343 = 2347131269413
BaseRepresentation
bin100011100010000001…
…101111000111110111
310122110212102111112222
4203202001233013313
51111113333004333
625305434232555
72520303216614
oct434201570767
9118425374488
1038151844343
11151a87a3378
127488b8575b
1337a0201732
141bbcd5b50b
15ed461a298
hex8e206f1f7

38151844343 has 16 divisors (see below), whose sum is σ = 40968170496. Its totient is φ = 35443842720.

The previous prime is 38151844309. The next prime is 38151844369. The reversal of 38151844343 is 34344815183.

It is a happy number.

It is not a de Polignac number, because 38151844343 - 26 = 38151844279 is a prime.

It is a super-2 number, since 2×381518443432 (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 = 38151844294 and 38151844303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38151844303) 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 15 ways as a sum of consecutive naturals, for example, 6905 + ... + 276317.

It is an arithmetic number, because the mean of its divisors is an integer number (2560510656).

Almost surely, 238151844343 is an apocalyptic number.

38151844343 is a deficient number, since it is larger than the sum of its proper divisors (2816326153).

38151844343 is a wasteful number, since it uses less digits than its factorization.

38151844343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269614.

The product of its digits is 552960, while the sum is 44.

The spelling of 38151844343 in words is "thirty-eight billion, one hundred fifty-one million, eight hundred forty-four thousand, three hundred forty-three".

Divisors: 1 23 47 131 1081 3013 6157 141611 269413 6196499 12662411 35293103 291235453 811741369 1658775841 38151844343