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4081221804 = 22311377311447
BaseRepresentation
bin1111001101000010…
…1000000010101100
3101112102112112211010
43303100220002230
531324243044204
61512550425220
7203064545562
oct36320500254
911472475733
104081221804
11180481a390
1295a962210
135006bbc5a
142aa057a32
1518d46ad89
hexf34280ac

4081221804 has 96 divisors (see below), whose sum is σ = 10816436736. Its totient is φ = 1186721280.

The previous prime is 4081221797. The next prime is 4081221817.

4081221804 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350809 + ... + 362255.

It is an arithmetic number, because the mean of its divisors is an integer number (112671216).

Almost surely, 24081221804 is an apocalyptic number.

4081221804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081221804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408218368).

4081221804 is an abundant number, since it is smaller than the sum of its proper divisors (6735214932).

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

4081221804 is a wasteful number, since it uses less digits than its factorization.

4081221804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11575 (or 11573 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4081221804 is about 63884.4410165730. The cubic root of 4081221804 is about 1598.0734368818.

The spelling of 4081221804 in words is "four billion, eighty-one million, two hundred twenty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 73 74 111 132 146 148 219 222 292 407 438 444 803 814 876 1221 1606 1628 2409 2442 2701 3212 4818 4884 5402 8103 9636 10804 11447 16206 22894 29711 32412 34341 45788 59422 68682 89133 118844 125917 137364 178266 251834 356532 377751 423539 503668 755502 835631 847078 1270617 1511004 1671262 1694156 2506893 2541234 3342524 4658929 5013786 5082468 9191941 9317858 10027572 13976787 18383882 18635716 27575823 27953574 30918347 36767764 55151646 55907148 61836694 92755041 110303292 123673388 185510082 340101817 371020164 680203634 1020305451 1360407268 2040610902 4081221804