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30640066560 = 21233555411
BaseRepresentation
bin11100100010010010…
…100101000000000000
32221002100200122122000
4130202102211000000
51000222324112220
622024214544000
72133201161055
oct344222450000
987070618560
1030640066560
1111aa3578564
125b31368000
132b73b7b8cc
1416a946102c
15be4e0d390
hex7224a5000

30640066560 has 208 divisors, whose sum is σ = 108931126080. Its totient is φ = 8170536960.

The previous prime is 30640066549. The next prime is 30640066649. The reversal of 30640066560 is 6566004603.

30640066560 is a `hidden beast` number, since 3 + 0 + 640 + 0 + 6 + 6 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525255 + ... + 580665.

Almost surely, 230640066560 is an apocalyptic number.

30640066560 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 30640066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54465563040).

30640066560 is an abundant number, since it is smaller than the sum of its proper divisors (78291059520).

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

30640066560 is an equidigital number, since it uses as much as digits as its factorization.

30640066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55449 (or 55421 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 30640066560 in words is "thirty billion, six hundred forty million, sixty-six thousand, five hundred sixty".