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4455225544 = 237111012709
BaseRepresentation
bin1000010011000110…
…10101100011001000
3102111111021220111111
410021203111203020
533111014204134
62014030540104
7215255535520
oct41143254310
912444256444
104455225544
111986949990
12a44067634
1356002aa43
143039b2680
151b11e6c64
hex1098d58c8

4455225544 has 96 divisors (see below), whose sum is σ = 10533787200. Its totient is φ = 1716192000.

The previous prime is 4455225539. The next prime is 4455225553.

4455225544 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4455225497 and 4455225506.

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 23 ways as a sum of consecutive naturals, for example, 6283462 + ... + 6284170.

It is an arithmetic number, because the mean of its divisors is an integer number (109726950).

Almost surely, 24455225544 is an apocalyptic number.

4455225544 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 4455225544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266893600).

4455225544 is an abundant number, since it is smaller than the sum of its proper divisors (6078561656).

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

4455225544 is a wasteful number, since it uses less digits than its factorization.

4455225544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 830 counting only the distinct ones).

The product of its digits is 640000, while the sum is 40.

The square root of 4455225544 is about 66747.4759372967. The cubic root of 4455225544 is about 1645.4697332794.

The spelling of 4455225544 in words is "four billion, four hundred fifty-five million, two hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 709 808 1111 1414 1418 2222 2828 2836 4444 4963 5656 5672 7777 7799 8888 9926 10201 15554 15598 19852 20402 31108 31196 39704 40804 54593 62216 62392 71407 71609 81608 109186 112211 142814 143218 218372 224422 285628 286436 436744 448844 501263 571256 572872 785477 787699 897688 1002526 1570954 1575398 2005052 3141908 3150796 4010104 5513893 6283816 6301592 7232509 11027786 14465018 22055572 28930036 44111144 50627563 57860072 79557599 101255126 159115198 202510252 318230396 405020504 556903193 636460792 1113806386 2227612772 4455225544