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982802000052 = 2233173595232851
BaseRepresentation
bin11100100110100111001…
…00000110100010110100
310110221210011100111201000
432103103210012202310
5112100234303000202
62031254253403300
7131001515110335
oct16232344064264
93427704314630
10982802000052
1134989311aaa4
1213a582499530
13718a726b602
14357d434628c
151a8719cc91c
hexe4d39068b4

982802000052 has 192 divisors, whose sum is σ = 2711526451200. Its totient is φ = 306775641600.

The previous prime is 982802000051. The next prime is 982802000071. The reversal of 982802000052 is 250000208289.

It is a super-2 number, since 2×9828020000522 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 982801999980 and 982802000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982802000051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344720427 + ... + 344723277.

It is an arithmetic number, because the mean of its divisors is an integer number (14122533600).

Almost surely, 2982802000052 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 982802000052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355763225600).

982802000052 is an abundant number, since it is smaller than the sum of its proper divisors (1728724451148).

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

982802000052 is a wasteful number, since it uses less digits than its factorization.

982802000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 982802000052 in words is "nine hundred eighty-two billion, eight hundred two million, fifty-two", and thus it is an aban number.