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8165216808 = 23327129712491
BaseRepresentation
bin1111001101010111…
…10101001000101000
3210002001021222202100
413212223311020220
5113210243414213
63430120533400
7406225124550
oct74653651050
923061258670
108165216808
113510063271
1216ba621260
13a0183c248
145765d4160
1532bc83773
hex1e6af5228

8165216808 has 96 divisors (see below), whose sum is σ = 25294800960. Its totient is φ = 2330933760.

The previous prime is 8165216767. The next prime is 8165216819. The reversal of 8165216808 is 8086125618.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647443 + ... + 659933.

It is an arithmetic number, because the mean of its divisors is an integer number (263487510).

Almost surely, 28165216808 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 8165216808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647400480).

8165216808 is an abundant number, since it is smaller than the sum of its proper divisors (17129584152).

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

8165216808 is a wasteful number, since it uses less digits than its factorization.

8165216808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13800 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 8165216808 is about 90361.5892290524. The cubic root of 8165216808 is about 2013.6743601914.

The spelling of 8165216808 in words is "eight billion, one hundred sixty-five million, two hundred sixteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1297 2594 3891 5188 7782 9079 10376 11673 12491 15564 18158 23346 24982 27237 31128 36316 37473 46692 49964 54474 72632 74946 81711 87437 93384 99928 108948 112419 149892 163422 174874 217896 224838 262311 299784 326844 349748 449676 524622 653688 699496 786933 899352 1049244 1573866 2098488 3147732 6295464 16200827 32401654 48602481 64803308 97204962 113405789 129606616 145807443 194409924 226811578 291614886 340217367 388819848 453623156 583229772 680434734 907246312 1020652101 1166459544 1360869468 2041304202 2721738936 4082608404 8165216808