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4221627482336 = 251167667926801
BaseRepresentation
bin111101011011101100100…
…110110100000011100000
3112221120202110220022201212
4331123230212310003200
51023131343113413321
612551220000045252
7614000602345355
oct75335446640340
915846673808655
104221627482336
111388422724410
1258221a603828
13248136a2b324
1410848391262c
1574c32ec755b
hex3d6ec9b40e0

4221627482336 has 96 divisors (see below), whose sum is σ = 9203952602880. Its totient is φ = 1889927424000.

The previous prime is 4221627482323. The next prime is 4221627482351. The reversal of 4221627482336 is 6332847261224.

4221627482336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42216274823362 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157504136 + ... + 157530936.

It is an arithmetic number, because the mean of its divisors is an integer number (95874506280).

Almost surely, 24221627482336 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 4221627482336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601976301440).

4221627482336 is an abundant number, since it is smaller than the sum of its proper divisors (4982325120544).

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

4221627482336 is a wasteful number, since it uses less digits than its factorization.

4221627482336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33568 (or 33560 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 50.

The spelling of 4221627482336 in words is "four trillion, two hundred twenty-one billion, six hundred twenty-seven million, four hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2948 5896 6679 11792 13358 23584 26716 26801 53432 53602 73469 106864 107204 146938 213728 214408 293876 294811 428816 447493 587752 589622 857632 894986 1175504 1179244 1789972 1795667 2351008 2358488 3579944 3591334 4716976 4922423 7159888 7182668 9433952 9844846 14319776 14365336 19689692 19752337 28730672 39379384 39504674 57461344 78758768 79009348 157517536 158018696 179003879 316037392 358007758 632074784 716015516 1432031032 1969042669 2864062064 3938085338 5728124128 7876170676 11993259893 15752341352 23986519786 31504682704 47973039572 63009365408 95946079144 131925858823 191892158288 263851717646 383784316576 527703435292 1055406870584 2110813741168 4221627482336