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75107483746920 = 233253727120807011
BaseRepresentation
bin10001000100111101010010…
…111000111000001001101000
3100211221012112200100222021100
4101010331102320320021220
534321030111314400140
6423423522433441400
721551223315124632
oct2104752270701150
9324835480328240
1075107483746920
1121a279a5588599
128510400410260
1332ba7b3b97901
14147931614da52
158a3ab8473530
hex444f52e38268

75107483746920 has 192 divisors, whose sum is σ = 251621692957440. Its totient is φ = 19415437171200.

The previous prime is 75107483746913. The next prime is 75107483746963. The reversal of 75107483746920 is 2964738470157.

75107483746920 is a `hidden beast` number, since 7 + 5 + 1 + 0 + 7 + 483 + 74 + 69 + 20 = 666.

75107483746920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×751074837469202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6793786 + ... + 14013225.

It is an arithmetic number, because the mean of its divisors is an integer number (1310529650820).

It is a 2-persistent number, because it is pandigital, and so is 2⋅75107483746920 = 150214967493840, but 3⋅75107483746920 = 225322451240760 is not.

Almost surely, 275107483746920 is an apocalyptic number.

It is an amenable number.

75107483746920 is an abundant number, since it is smaller than the sum of its proper divisors (176514209210520).

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

75107483746920 is a wasteful number, since it uses less digits than its factorization.

75107483746920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20807336 (or 20807329 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 75107483746920 in words is "seventy-five trillion, one hundred seven billion, four hundred eighty-three million, seven hundred forty-six thousand, nine hundred twenty".