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20610731232 = 253672131973
BaseRepresentation
bin10011001100011111…
…101100110011100000
31222012101201122000000
4103030133230303200
5314202321344412
613245103300000
71326516216300
oct231437546340
958171648000
1020610731232
118817247483
123bb25aa600
131c3608cb70
14dd7463600
158096a84dc
hex4cc7ecce0

20610731232 has 1008 divisors, whose sum is σ = 81325233360. Its totient is φ = 5079158784.

The previous prime is 20610731231. The next prime is 20610731243. The reversal of 20610731232 is 23213701602.

20610731232 is a `hidden beast` number, since 2 + 0 + 610 + 7 + 3 + 12 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20610731196 and 20610731205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20610731231) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 282338748 + ... + 282338820.

It is an arithmetic number, because the mean of its divisors is an integer number (80679795).

Almost surely, 220610731232 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 20610731232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40662616680).

20610731232 is an abundant number, since it is smaller than the sum of its proper divisors (60714502128).

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

20610731232 is a wasteful number, since it uses less digits than its factorization.

20610731232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 20610731232 in words is "twenty billion, six hundred ten million, seven hundred thirty-one thousand, two hundred thirty-two".