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41512052097 = 334738385411
BaseRepresentation
bin100110101010010011…
…111010010110000001
310222011001020202001000
4212222103322112001
51140004041131342
631023111202213
72666464422645
oct465223722601
9128131222030
1041512052097
111667252017a
128066376369
133bb7404449
14201b32ac25
15112e61244c
hex9aa4fa581

41512052097 has 32 divisors (see below), whose sum is σ = 62972559360. Its totient is φ = 27014841360.

The previous prime is 41512052083. The next prime is 41512052119. The reversal of 41512052097 is 79025021514.

41512052097 is a `hidden beast` number, since 4 + 1 + 5 + 120 + 520 + 9 + 7 = 666.

It is not a de Polignac number, because 41512052097 - 26 = 41512052033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41512052047) 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 31 ways as a sum of consecutive naturals, for example, 443322 + ... + 528732.

It is an arithmetic number, because the mean of its divisors is an integer number (1967892480).

Almost surely, 241512052097 is an apocalyptic number.

41512052097 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

41512052097 is a deficient number, since it is larger than the sum of its proper divisors (21460507263).

41512052097 is a wasteful number, since it uses less digits than its factorization.

41512052097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85850 (or 85844 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 41512052097 in words is "forty-one billion, five hundred twelve million, fifty-two thousand, ninety-seven".

Divisors: 1 3 9 27 47 141 383 423 1149 1269 3447 10341 18001 54003 85411 162009 256233 486027 768699 2306097 4014317 12042951 32712413 36128853 98137239 108386559 294411717 883235151 1537483411 4612450233 13837350699 41512052097