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190346749047 = 3271317371512447
BaseRepresentation
bin1011000101000110001…
…1001110010001110111
3200012022120222201122100
42301101203032101313
511104312231432142
6223235531233143
716515653446140
oct2612143162167
9605276881570
10190346749047
11737a8860954
1230a828a87b3
1314c4641a270
1492da020ac7
154e40c5bb4c
hex2c518ce477

190346749047 has 192 divisors, whose sum is σ = 370571894784. Its totient is φ = 91296460800.

The previous prime is 190346749027. The next prime is 190346749051. The reversal of 190346749047 is 740947643091.

190346749047 is a `hidden beast` number, since 1 + 90 + 3 + 4 + 67 + 490 + 4 + 7 = 666.

190346749047 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 190346749047 - 215 = 190346716279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 190346748984 and 190346749002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190346749027) 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 191 ways as a sum of consecutive naturals, for example, 77786578 + ... + 77789024.

It is an arithmetic number, because the mean of its divisors is an integer number (1930061952).

Almost surely, 2190346749047 is an apocalyptic number.

190346749047 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

190346749047 is a deficient number, since it is larger than the sum of its proper divisors (180225145737).

190346749047 is a wasteful number, since it uses less digits than its factorization.

190346749047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 190346749047 in words is "one hundred ninety billion, three hundred forty-six million, seven hundred forty-nine thousand, forty-seven".