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30684572880 = 243513219291373
BaseRepresentation
bin11100100100111100…
…010110110011010000
32221012110102210211020
4130210330112303100
51000320222313010
622032444515440
72134251365103
oct344474266320
987173383736
1030684572880
1112016706845
125b4424bb80
132b80162600
1416b132873a
15be8ca0470
hex724f16cd0

30684572880 has 480 divisors, whose sum is σ = 112243708800. Its totient is φ = 6903816192.

The previous prime is 30684572869. The next prime is 30684572903. The reversal of 30684572880 is 8827548603.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22347874 + ... + 22349246.

It is an arithmetic number, because the mean of its divisors is an integer number (233841060).

Almost surely, 230684572880 is an apocalyptic number.

30684572880 is a gapful number since it is divisible by the number (30) 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 30684572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56121854400).

30684572880 is an abundant number, since it is smaller than the sum of its proper divisors (81559135920).

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

30684572880 is a wasteful number, since it uses less digits than its factorization.

30684572880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 30684572880 in words is "thirty billion, six hundred eighty-four million, five hundred seventy-two thousand, eight hundred eighty".