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20870203774248 = 2332171929119325939
BaseRepresentation
bin1001011111011001110010…
…00101010001010100101000
32201220011122101101111020100
410233230321011101110220
510213414134131233443
6112215350025025400
74252552051040403
oct457547105212450
981804571344210
1020870203774248
116717004a44474
122410951025260
13b85089983c1a
145221a22c0d3a
15262d365db3d3
hex12fb39151528

20870203774248 has 384 divisors, whose sum is σ = 65227790160000. Its totient is φ = 5983764627456.

The previous prime is 20870203774223. The next prime is 20870203774249. The reversal of 20870203774248 is 84247730207802.

20870203774248 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 0 + 20 + 377 + 4 + 248 = 666.

It is a super-3 number, since 3×208702037742483 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20870203774194 and 20870203774203.

It is not an unprimeable number, because it can be changed into a prime (20870203774249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 804574863 + ... + 804600801.

It is an arithmetic number, because the mean of its divisors is an integer number (169864036875).

Almost surely, 220870203774248 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 20870203774248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32613895080000).

20870203774248 is an abundant number, since it is smaller than the sum of its proper divisors (44357586385752).

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

20870203774248 is a wasteful number, since it uses less digits than its factorization.

20870203774248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27209 (or 27202 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 20870203774248 in words is "twenty trillion, eight hundred seventy billion, two hundred three million, seven hundred seventy-four thousand, two hundred forty-eight".