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38290144149 = 341732732473
BaseRepresentation
bin100011101010010001…
…010011101110010101
310122211111122212020000
4203222101103232111
51111404234103044
625331254401513
72523602566215
oct435221235625
9118744585200
1038290144149
1115269874034
127507360299
1337c2a64c3a
141bd347c245
15ee1837d69
hex8ea453b95

38290144149 has 20 divisors (see below), whose sum is σ = 57529507596. Its totient is φ = 25379199936.

The previous prime is 38290144147. The next prime is 38290144153. The reversal of 38290144149 is 94144109283.

38290144149 is a `hidden beast` number, since 3 + 82 + 90 + 1 + 441 + 49 = 666.

38290144149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37348268049 + 941876100 = 193257^2 + 30690^2 .

It is not a de Polignac number, because 38290144149 - 21 = 38290144147 is a prime.

It is a super-2 number, since 2×382901441492 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38290144147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1352224 + ... + 1380249.

Almost surely, 238290144149 is an apocalyptic number.

It is an amenable number.

38290144149 is a deficient number, since it is larger than the sum of its proper divisors (19239363447).

38290144149 is a wasteful number, since it uses less digits than its factorization.

38290144149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732658 (or 2732649 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38290144149 in words is "thirty-eight billion, two hundred ninety million, one hundred forty-four thousand, one hundred forty-nine".

Divisors: 1 3 9 27 81 173 519 1557 4671 14013 2732473 8197419 24592257 73776771 221330313 472717829 1418153487 4254460461 12763381383 38290144149