Search a number
-
+
4465335644 = 2271123792101
BaseRepresentation
bin1000010100010011…
…11001110101011100
3102112012022112221122
410022021321311130
533121111220034
62015031350112
7215440504160
oct41211716534
912465275848
104465335644
111991624840
12a47522338
1356215a753
14305084ca0
151b204262e
hex10a279d5c

4465335644 has 144 divisors (see below), whose sum is σ = 10398398976. Its totient is φ = 1626768000.

The previous prime is 4465335631. The next prime is 4465335647.

4465335644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4465335595 and 4465335604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4465335647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44211194 + ... + 44211294.

It is an arithmetic number, because the mean of its divisors is an integer number (72211104).

Almost surely, 24465335644 is an apocalyptic number.

4465335644 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 4465335644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199199488).

4465335644 is an abundant number, since it is smaller than the sum of its proper divisors (5933063332).

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

4465335644 is a wasteful number, since it uses less digits than its factorization.

4465335644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 223 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The square root of 4465335644 is about 66823.1669707445. The cubic root of 4465335644 is about 1646.7134634776.

The spelling of 4465335644 in words is "four billion, four hundred sixty-five million, three hundred thirty-five thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 79 92 101 154 158 161 202 253 308 316 322 404 506 553 644 707 869 1012 1106 1111 1414 1738 1771 1817 2212 2222 2323 2828 3476 3542 3634 4444 4646 6083 6241 7084 7268 7777 7979 9292 12166 12482 12719 15554 15958 16261 19987 24332 24964 25438 25553 31108 31916 32522 39974 43687 50876 51106 55853 65044 68651 79948 87374 87769 102212 111706 137302 139909 143543 174748 175538 178871 183517 223412 274604 279818 287086 351076 357742 367034 480557 559636 574172 614383 630341 715484 734068 961114 1004801 1228766 1260682 1284619 1578973 1922228 2009602 2018687 2457532 2521364 2569238 3157946 4019204 4037374 4412387 5138476 6315892 6933751 8074748 8824774 11052811 13867502 14130809 14497843 17649548 22105622 27735004 28261618 28995686 44211244 48536257 56523236 57991372 97072514 101484901 159476273 194145028 202969802 318952546 405939604 637905092 1116333911 2232667822 4465335644