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241512106680 = 2333513210511259
BaseRepresentation
bin1110000011101100111…
…1100100101010111000
3212002101101122012102000
43200323033210222320
512424104044403210
6302541002341000
723306616015045
oct3407317445270
9762341565360
10241512106680
1193474319389
123a981aba760
1319a0b742400
14b9914241cc
156437a97ac0
hex383b3e4ab8

241512106680 has 384 divisors, whose sum is σ = 873252576000. Its totient is φ = 59345395200.

The previous prime is 241512106673. The next prime is 241512106739. The reversal of 241512106680 is 86601215142.

It is a happy number.

241512106680 is a `hidden beast` number, since 2 + 4 + 1 + 512 + 1 + 0 + 66 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191827891 + ... + 191829149.

It is an arithmetic number, because the mean of its divisors is an integer number (2274095250).

Almost surely, 2241512106680 is an apocalyptic number.

241512106680 is a gapful number since it is divisible by the number (20) 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 241512106680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436626288000).

241512106680 is an abundant number, since it is smaller than the sum of its proper divisors (631740469320).

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

241512106680 is a wasteful number, since it uses less digits than its factorization.

241512106680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 241512106680 in words is "two hundred forty-one billion, five hundred twelve million, one hundred six thousand, six hundred eighty".