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47675210000 = 245411231241
BaseRepresentation
bin101100011001101010…
…011111100100010000
311120001120022121021112
4230121222133210100
51240114323210000
633522433112452
73305302412225
oct543152374420
9146046277245
1047675210000
111924545aa00
1292a63b8728
13465a228142
142443a8b94c
151390728235
hexb19a9f910

47675210000 has 450 divisors, whose sum is σ = 134295947478. Its totient is φ = 16368000000.

The previous prime is 47675209987. The next prime is 47675210003. The reversal of 47675210000 is 1257674.

It can be written as a sum of positive squares in 5 ways, for example, as 31927971856 + 15747238144 = 178684^2 + 125488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47675210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1162809980 + ... + 1162810020.

Almost surely, 247675210000 is an apocalyptic number.

47675210000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47675210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67147973739).

47675210000 is an abundant number, since it is smaller than the sum of its proper divisors (86620737478).

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

47675210000 is a wasteful number, since it uses less digits than its factorization.

47675210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

Adding to 47675210000 its reverse (1257674), we get a palindrome (47676467674).

The spelling of 47675210000 in words is "forty-seven billion, six hundred seventy-five million, two hundred ten thousand".