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47298082111488 = 2173613229101
BaseRepresentation
bin10101100000100011100010…
…11000100000000000000000
320012110122121122222012000000
422300101301120200000000
522144412433010031423
6244332234452000000
712651113365333605
oct1260216130400000
9205418548865000
1047298082111488
111408600532568a
12537a828000000
132051261596b00
14b9734cc506ac
155704e9536843
hex2b0471620000

47298082111488 has 1512 divisors, whose sum is σ = 160446756994020. Its totient is φ = 13912296652800.

The previous prime is 47298082111481. The next prime is 47298082111523. The reversal of 47298082111488 is 88411128089274.

47298082111488 is a `hidden beast` number, since 4 + 72 + 9 + 8 + 0 + 82 + 1 + 1 + 1 + 488 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19630145470464 + 27667936641024 = 4430592^2 + 5260032^2 .

It is a super-2 number, since 2×472980821114882 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47298082111481) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 468297842638 + ... + 468297842738.

Almost surely, 247298082111488 is an apocalyptic number.

47298082111488 is a gapful number since it is divisible by the number (48) 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 47298082111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80223378497010).

47298082111488 is an abundant number, since it is smaller than the sum of its proper divisors (113148674882532).

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

47298082111488 is an frugal number, since it uses more digits than its factorization.

47298082111488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 47298082111488 in words is "forty-seven trillion, two hundred ninety-eight billion, eighty-two million, one hundred eleven thousand, four hundred eighty-eight".