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4204421199504 = 2432371429552217
BaseRepresentation
bin111101001011101011000…
…010000011011010010000
3112212221100100020120222100
4331023223002003122100
51022341123311341004
612535252345440400
7612521322351441
oct75135302033220
915787310216870
104204421199504
1113810a3181459
1257aa181a0100
13246624090c96
141076d06972c8
1574577654739
hex3d2eb083690

4204421199504 has 120 divisors (see below), whose sum is σ = 12093033026360. Its totient is φ = 1362639366144.

The previous prime is 4204421199499. The next prime is 4204421199533. The reversal of 4204421199504 is 4059911244024.

4204421199504 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 42 + 11 + 99 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1646468789904 + 2557952409600 = 1283148^2 + 1599360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4204421199504.

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 23 ways as a sum of consecutive naturals, for example, 7337604 + ... + 7889820.

Almost surely, 24204421199504 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 4204421199504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046516513180).

4204421199504 is an abundant number, since it is smaller than the sum of its proper divisors (7888611826856).

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

4204421199504 is a wasteful number, since it uses less digits than its factorization.

4204421199504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553697 (or 553688 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4204421199504 in words is "four trillion, two hundred four billion, four hundred twenty-one million, one hundred ninety-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1429 1776 2664 2858 4287 5328 5716 8574 11432 12861 17148 22864 25722 34296 51444 52873 68592 102888 105746 158619 205776 211492 317238 422984 475857 552217 634476 845968 951714 1104434 1268952 1656651 1903428 2208868 2537904 3313302 3806856 4417736 4969953 6626604 7613712 8835472 9939906 13253208 19879812 20432029 26506416 39759624 40864058 61296087 79519248 81728116 122592174 163456232 183888261 245184348 326912464 367776522 490368696 735553044 789118093 980737392 1471106088 1578236186 2367354279 2942212176 3156472372 4734708558 6312944744 7102062837 9469417116 12625889488 14204125674 18938834232 28408251348 29197369441 37877668464 56816502696 58394738882 87592108323 113633005392 116789477764 175184216646 233578955528 262776324969 350368433292 467157911056 525552649938 700736866584 1051105299876 1401473733168 2102210599752 4204421199504