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38128233361491 = 3272131931671271327
BaseRepresentation
bin10001010101101011010111…
…10011100011000001010011
312000000000122010202212112100
420222311223303203001103
514444143110220031431
6213031511341131443
711013450111114300
oct1052655363430123
9160000563685470
1038128233361491
1111170102805799
124339610259b83
131837627bc8bb0
1495b5b86240a7
15461c099394e6
hex22ad6bce3053

38128233361491 has 576 divisors, whose sum is σ = 76743777976320. Its totient is φ = 18006676047360.

The previous prime is 38128233361483. The next prime is 38128233361507. The reversal of 38128233361491 is 19416333282183.

38128233361491 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 8 + 233 + 361 + 49 + 1 = 666.

38128233361491 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38128233361491 - 23 = 38128233361483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38128233361411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 28732654470 + ... + 28732655796.

Almost surely, 238128233361491 is an apocalyptic number.

38128233361491 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38128233361491 is an abundant number, since it is smaller than the sum of its proper divisors (38615544614829).

38128233361491 is a wasteful number, since it uses less digits than its factorization.

38128233361491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1594 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 38128233361491 in words is "thirty-eight trillion, one hundred twenty-eight billion, two hundred thirty-three million, three hundred sixty-one thousand, four hundred ninety-one".