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28963817190 = 23457211237163
BaseRepresentation
bin11010111110011000…
…001100011011100110
32202202112112100210000
4122332120030123212
5433304214122230
621150015042130
72043515245500
oct327630143346
982675470700
1028963817190
1111313357600
125743b10346
1329677c9989
14158a99cd70
15b47b9bb60
hex6be60c6e6

28963817190 has 720 divisors, whose sum is σ = 102899156976. Its totient is φ = 5819869440.

The previous prime is 28963817147. The next prime is 28963817203. The reversal of 28963817190 is 9171836982.

28963817190 is a `hidden beast` number, since 28 + 96 + 381 + 71 + 90 = 666.

It is a super-2 number, since 2×289638171902 (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 177692049 + ... + 177692211.

Almost surely, 228963817190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28963817190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51449578488).

28963817190 is an abundant number, since it is smaller than the sum of its proper divisors (73935339786).

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

28963817190 is a wasteful number, since it uses less digits than its factorization.

28963817190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 28963817190 in words is "twenty-eight billion, nine hundred sixty-three million, eight hundred seventeen thousand, one hundred ninety".