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8020902186882 = 23313193137524287
BaseRepresentation
bin111010010111000001100…
…0001101000111110000010
31001101210100110112111212000
41310232003001220332002
52022403301424440012
625020430202244430
71455330301450464
oct164560301507602
931353313474760
108020902186882
1126127111a8652
12a96607ab6716
134624a217c990
141da2dc6d0134
15dd996ee0ddc
hex74b83068f82

8020902186882 has 256 divisors, whose sum is σ = 21421149388800. Its totient is φ = 2201497885440.

The previous prime is 8020902186881. The next prime is 8020902186929. The reversal of 8020902186882 is 2886812090208.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8020902186881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15036543 + ... + 15560829.

It is an arithmetic number, because the mean of its divisors is an integer number (83676364800).

Almost surely, 28020902186882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8020902186882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710574694400).

8020902186882 is an abundant number, since it is smaller than the sum of its proper divisors (13400247201918).

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

8020902186882 is a wasteful number, since it uses less digits than its factorization.

8020902186882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524398 (or 524392 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 8020902186882 in words is "eight trillion, twenty billion, nine hundred two million, one hundred eighty-six thousand, eight hundred eighty-two".