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21465675312 = 2434712777451
BaseRepresentation
bin10011111111011101…
…000011011000110000
32001101222110021210120
4103333131003120300
5322430203102222
613510003530240
71356640141524
oct237735033060
961358407716
1021465675312
1191158a5634
1241b0989980
13204123c633
141078c11d84
1585978515c
hex4ff743630

21465675312 has 80 divisors (see below), whose sum is σ = 56684800512. Its totient is φ = 6996563200.

The previous prime is 21465675269. The next prime is 21465675347. The reversal of 21465675312 is 21357656412.

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 15 ways as a sum of consecutive naturals, for example, 2877187 + ... + 2884637.

Almost surely, 221465675312 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 21465675312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28342400256).

21465675312 is an abundant number, since it is smaller than the sum of its proper divisors (35219125200).

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

21465675312 is a wasteful number, since it uses less digits than its factorization.

21465675312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8780 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 21465675312 in words is "twenty-one billion, four hundred sixty-five million, six hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 1277 2256 2554 3831 5108 7451 7662 10216 14902 15324 20432 22353 29804 30648 44706 59608 60019 61296 89412 119216 120038 178824 180057 240076 350197 357648 360114 480152 700394 720228 960304 1050591 1400788 1440456 2101182 2801576 2880912 4202364 5603152 8404728 9514927 16809456 19029854 28544781 38059708 57089562 76119416 114179124 152238832 228358248 447201569 456716496 894403138 1341604707 1788806276 2683209414 3577612552 5366418828 7155225104 10732837656 21465675312