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30147631488 = 273313271727
BaseRepresentation
bin11100000100111100…
…000101100110000000
32212211001002100201000
4130010330011212000
5443220243201423
621503304212000
72115041432232
oct340474054600
985731070630
1030147631488
1111870608827
125a1446a000
132ac5b44c00
14165dcb8252
15bb6a8b843
hex704f05980

30147631488 has 384 divisors, whose sum is σ = 97839705600. Its totient is φ = 9132963840.

The previous prime is 30147631457. The next prime is 30147631499. The reversal of 30147631488 is 88413674103.

30147631488 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 7 + 631 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41468181 + ... + 41468907.

It is an arithmetic number, because the mean of its divisors is an integer number (254790900).

Almost surely, 230147631488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30147631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48919852800).

30147631488 is an abundant number, since it is smaller than the sum of its proper divisors (67692074112).

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

30147631488 is a wasteful number, since it uses less digits than its factorization.

30147631488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 30147631488 in words is "thirty billion, one hundred forty-seven million, six hundred thirty-one thousand, four hundred eighty-eight".