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30896603136 = 21432737809
BaseRepresentation
bin11100110001100101…
…001100000000000000
32221202020102001122200
4130301211030000000
51001234012300021
622105501233200
72142434536110
oct346145140000
987666361580
1030896603136
1112115366263
125ba3262800
132bb506c5b9
1416d155d040
15c0c6d4126
hex73194c000

30896603136 has 360 divisors, whose sum is σ = 104891099040. Its totient is φ = 8578400256.

The previous prime is 30896603119. The next prime is 30896603149. The reversal of 30896603136 is 63130669803.

30896603136 is a `hidden beast` number, since 3 + 0 + 8 + 9 + 6 + 603 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30896603091 and 30896603100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38190700 + ... + 38191508.

It is an arithmetic number, because the mean of its divisors is an integer number (291364164).

Almost surely, 230896603136 is an apocalyptic number.

30896603136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30896603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52445549520).

30896603136 is an abundant number, since it is smaller than the sum of its proper divisors (73994495904).

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

30896603136 is an equidigital number, since it uses as much as digits as its factorization.

30896603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 30896603136 in words is "thirty billion, eight hundred ninety-six million, six hundred three thousand, one hundred thirty-six".