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4216836096 = 212321110399
BaseRepresentation
bin1111101101010111…
…1101000000000000
3101212212201110122200
43323111331000000
532114002223341
61534233233200
7206332341534
oct37325750000
911785643580
104216836096
111874326410
12998262800
13522821cb5
142c0079bc4
1519a307db6
hexfb57d000

4216836096 has 156 divisors (see below), whose sum is σ = 13289078400. Its totient is φ = 1277706240.

The previous prime is 4216836083. The next prime is 4216836103. The reversal of 4216836096 is 6906386124.

4216836096 is a `hidden beast` number, since 42 + 168 + 360 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400305 + ... + 410703.

It is an arithmetic number, because the mean of its divisors is an integer number (85186400).

Almost surely, 24216836096 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 4216836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644539200).

4216836096 is an abundant number, since it is smaller than the sum of its proper divisors (9072242304).

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

4216836096 is a wasteful number, since it uses less digits than its factorization.

4216836096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10440 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4216836096 is about 64937.1703725994. The cubic root of 4216836096 is about 1615.5816320499.

The spelling of 4216836096 in words is "four billion, two hundred sixteen million, eight hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4096 4224 4608 5632 6144 6336 8448 9216 10399 11264 12288 12672 16896 18432 20798 22528 25344 31197 33792 36864 41596 45056 50688 62394 67584 83192 93591 101376 114389 124788 135168 166384 187182 202752 228778 249576 332768 343167 374364 405504 457556 499152 665536 686334 748728 915112 998304 1029501 1331072 1372668 1497456 1830224 1996608 2059002 2662144 2745336 2994912 3660448 3993216 4118004 5324288 5490672 5989824 7320896 7986432 8236008 10648576 10981344 11979648 14641792 15972864 16472016 21297152 21962688 23959296 29283584 31945728 32944032 42594304 43925376 47918592 58567168 63891456 65888064 87850752 95837184 117134336 127782912 131776128 175701504 191674368 234268672 263552256 351403008 383348736 468537344 527104512 702806016 1054209024 1405612032 2108418048 4216836096