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48705142141 = 3711325146411
BaseRepresentation
bin101101010111000011…
…010111110101111101
311122201100022120120101
4231113003113311331
51244222004022031
634212544121101
73342646606645
oct552703276575
9148640276511
1048705142141
1119723868197
129533306191
134792715446
14250078b525
151400d6d361
hexb570d7d7d

48705142141 has 16 divisors (see below), whose sum is σ = 50666309568. Its totient is φ = 46781280000.

The previous prime is 48705142117. The next prime is 48705142183. The reversal of 48705142141 is 14124150784.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 48705142141 - 211 = 48705140093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48705142141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48705142841) 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 15 ways as a sum of consecutive naturals, for example, 1026226 + ... + 1072636.

It is an arithmetic number, because the mean of its divisors is an integer number (3166644348).

Almost surely, 248705142141 is an apocalyptic number.

It is an amenable number.

48705142141 is a deficient number, since it is larger than the sum of its proper divisors (1961167427).

48705142141 is a wasteful number, since it uses less digits than its factorization.

48705142141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46812.

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 48705142141 in words is "forty-eight billion, seven hundred five million, one hundred forty-two thousand, one hundred forty-one".

Divisors: 1 37 113 251 4181 9287 28363 46411 1049431 1717207 5244443 11649161 194044391 431018957 1316355193 48705142141