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48462789375 = 33547111319151
BaseRepresentation
bin101101001000100110…
…110111101011111111
311122002110021210002000
4231020212313223333
51243222433230000
634132525433343
73333644625060
oct551046675377
9148073253060
1048462789375
1119609a87a50
12948610b853
13475444c740
1424ba502567
1513d994a000
hexb489b7aff

48462789375 has 640 divisors, whose sum is σ = 127639142400. Its totient is φ = 17496000000.

The previous prime is 48462789341. The next prime is 48462789383. The reversal of 48462789375 is 57398726484.

48462789375 is a `hidden beast` number, since 484 + 6 + 2 + 7 + 89 + 3 + 75 = 666.

It is not a de Polignac number, because 48462789375 - 28 = 48462789119 is a prime.

It is a super-2 number, since 2×484627893752 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 320945550 + ... + 320945700.

It is an arithmetic number, because the mean of its divisors is an integer number (199436160).

Almost surely, 248462789375 is an apocalyptic number.

48462789375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48462789375 is an abundant number, since it is smaller than the sum of its proper divisors (79176353025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48462789375 is a wasteful number, since it uses less digits than its factorization.

48462789375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 48462789375 in words is "forty-eight billion, four hundred sixty-two million, seven hundred eighty-nine thousand, three hundred seventy-five".