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993025376531 = 1712719119912101
BaseRepresentation
bin11100111001101001110…
…11001100000100010011
310111221011122102211202022
432130310323030010103
5112232203444022111
62040104540042055
7131513044300556
oct16346473140423
93457148384668
10993025376531
11353159a34071
1214055623332b
13728463092c6
14360c401469d
151ac6e2b12db
hexe734ecc113

993025376531 has 32 divisors (see below), whose sum is σ = 1070707507200. Its totient is φ = 917687232000.

The previous prime is 993025376503. The next prime is 993025376591. The reversal of 993025376531 is 135673520399.

It is a happy number.

993025376531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 993025376531 - 238 = 718147469587 is a prime.

It is a super-2 number, since 2×9930253765312 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993025376591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82055381 + ... + 82067481.

It is an arithmetic number, because the mean of its divisors is an integer number (33459609600).

Almost surely, 2993025376531 is an apocalyptic number.

993025376531 is a deficient number, since it is larger than the sum of its proper divisors (77682130669).

993025376531 is a wasteful number, since it uses less digits than its factorization.

993025376531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635.

The product of its (nonzero) digits is 4592700, while the sum is 53.

The spelling of 993025376531 in words is "nine hundred ninety-three billion, twenty-five million, three hundred seventy-six thousand, five hundred thirty-one".

Divisors: 1 17 127 191 199 2159 3247 3383 12101 24257 25273 38009 205717 412369 429641 646153 1536827 2311291 2408099 4827143 26126059 39291947 40937683 82061431 293533957 305828573 459946909 4990077269 5199085741 7819097453 58413257443 993025376531