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20986138368 = 283413127613
BaseRepresentation
bin10011100010110111…
…110000111100000000
32000011120010021210000
4103202313300330000
5320434422411433
613350233440000
71342025142606
oct234267607400
960146107700
1020986138368
11899a145408
124098270000
131c95aa0670
141031265876
1582c610113
hex4e2df0f00

20986138368 has 360 divisors, whose sum is σ = 68031907328. Its totient is φ = 6395977728.

The previous prime is 20986138357. The next prime is 20986138387. The reversal of 20986138368 is 86383168902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34234830 + ... + 34235442.

Almost surely, 220986138368 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 20986138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34015953664).

20986138368 is an abundant number, since it is smaller than the sum of its proper divisors (47045768960).

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

20986138368 is a wasteful number, since it uses less digits than its factorization.

20986138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 20986138368 in words is "twenty billion, nine hundred eighty-six million, one hundred thirty-eight thousand, three hundred sixty-eight".