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20552412032 = 277112717807
BaseRepresentation
bin10011001001000001…
…001110101110000000
31222001022222201002122
4103021001032232000
5314042404141112
613235221303412
71325210422415
oct231101165600
958038881078
1020552412032
118797334399
123b96b64b68
131c26c80c69
14dcd80210c
158044d8872
hex4c904eb80

20552412032 has 64 divisors (see below), whose sum is σ = 41850224640. Its totient is φ = 10051130880.

The previous prime is 20552411993. The next prime is 20552412047. The reversal of 20552412032 is 23021425502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20552411992 and 20552412010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145273 + ... + 1163079.

It is an arithmetic number, because the mean of its divisors is an integer number (653909760).

Almost surely, 220552412032 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 20552412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20925112320).

20552412032 is an abundant number, since it is smaller than the sum of its proper divisors (21297812608).

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

20552412032 is a wasteful number, since it uses less digits than its factorization.

20552412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18019 (or 18007 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 20552412032 its reverse (23021425502), we get a palindrome (43573837534).

The spelling of 20552412032 in words is "twenty billion, five hundred fifty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 71 127 128 142 254 284 508 568 1016 1136 2032 2272 4064 4544 8128 9017 9088 16256 17807 18034 35614 36068 71228 72136 142456 144272 284912 288544 569824 577088 1139648 1154176 1264297 2261489 2279296 2528594 4522978 5057188 9045956 10114376 18091912 20228752 36183824 40457504 72367648 80915008 144735296 160565719 161830016 289470592 321131438 642262876 1284525752 2569051504 5138103008 10276206016 20552412032