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3930129110493 = 323137419285751
BaseRepresentation
bin111001001100001101111…
…100110001010111011101
3111220201100110021202100200
4321030031330301113131
51003342401023013433
612205250522214113
7553641156150645
oct71141574612735
914821313252320
103930129110493
111285838474193
12535828354339
132267c0347a31
14d830d935525
156c371d9e613
hex3930df315dd

3930129110493 has 48 divisors (see below), whose sum is σ = 6165145039872. Its totient is φ = 2406866400000.

The previous prime is 3930129110489. The next prime is 3930129110513. The reversal of 3930129110493 is 3940119210393.

It is a happy number.

3930129110493 is a `hidden beast` number, since 3 + 9 + 30 + 12 + 9 + 110 + 493 = 666.

It is not a de Polignac number, because 3930129110493 - 22 = 3930129110489 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930129110293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4219633 + ... + 5066118.

It is an arithmetic number, because the mean of its divisors is an integer number (128440521664).

Almost surely, 23930129110493 is an apocalyptic number.

It is an amenable number.

3930129110493 is a deficient number, since it is larger than the sum of its proper divisors (2235015929379).

3930129110493 is a wasteful number, since it uses less digits than its factorization.

3930129110493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285866 (or 9285863 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 3930129110493 in words is "three trillion, nine hundred thirty billion, one hundred twenty-nine million, one hundred ten thousand, four hundred ninety-three".

Divisors: 1 3 9 31 37 41 93 111 123 279 333 369 1147 1271 1517 3441 3813 4551 10323 11439 13653 47027 141081 423243 9285751 27857253 83571759 287858281 343572787 380715791 863574843 1030718361 1142147373 2590724529 3092155083 3426442119 10650756397 11802189521 14086484267 31952269191 35406568563 42259452801 95856807573 106219705689 126778358403 436681012277 1310043036831 3930129110493