Search a number
-
+
4461111644 = 22111729205657
BaseRepresentation
bin1000010011110011…
…10010100101011100
3102111220100221201012
410021321302211130
533114021033034
62014401034352
7215356552253
oct41171624534
912456327635
104461111644
11198a1aa230
12a460259b8
1356130bc42
143046a579a
151b19aacce
hex109e7295c

4461111644 has 48 divisors (see below), whose sum is σ = 9328646880. Its totient is φ = 1842677760.

The previous prime is 4461111623. The next prime is 4461111649.

4461111644 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4461111644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461111649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81137 + ... + 124520.

It is an arithmetic number, because the mean of its divisors is an integer number (194346810).

Almost surely, 24461111644 is an apocalyptic number.

4461111644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4461111644 is an abundant number, since it is smaller than the sum of its proper divisors (4867535236).

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

4461111644 is a wasteful number, since it uses less digits than its factorization.

4461111644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205718 (or 205716 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 4461111644 is about 66791.5536875734. The cubic root of 4461111644 is about 1646.1940615304.

The spelling of 4461111644 in words is "four billion, four hundred sixty-one million, one hundred eleven thousand, six hundred forty-four".

Divisors: 1 2 4 11 17 22 29 34 44 58 68 116 187 319 374 493 638 748 986 1276 1972 5423 10846 21692 205657 411314 822628 2262227 3496169 4524454 5964053 6992338 9048908 11928106 13984676 23856212 38457859 65604583 76915718 101388901 131209166 153831436 202777802 262418332 405555604 1115277911 2230555822 4461111644