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4474226688 = 2113821887
BaseRepresentation
bin1000010101010111…
…10100100000000000
3102112211001021011120
410022223310200000
533130400223223
62015550112240
7215606204451
oct41253644000
912484037146
104474226688
111996647808
12a4a4ab680
13563c51619
1430631b128
151b2bebbe3
hex10aaf4800

4474226688 has 96 divisors (see below), whose sum is σ = 11956351680. Its totient is φ = 1487912960.

The previous prime is 4474226657. The next prime is 4474226689. The reversal of 4474226688 is 8866224744.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×44742266882 = 40037408911222898688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4474226688.

It is not an unprimeable number, because it can be changed into a prime (4474226689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5043781 + ... + 5044667.

It is an arithmetic number, because the mean of its divisors is an integer number (124545330).

Almost surely, 24474226688 is an apocalyptic number.

4474226688 is a gapful number since it is divisible by the number (48) 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 4474226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978175840).

4474226688 is an abundant number, since it is smaller than the sum of its proper divisors (7482124992).

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

4474226688 is an equidigital number, since it uses as much as digits as its factorization.

4474226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1713 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 51.

The square root of 4474226688 is about 66889.6605463057. The cubic root of 4474226688 is about 1647.8056766506.

The spelling of 4474226688 in words is "four billion, four hundred seventy-four million, two hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 821 887 1024 1536 1642 1774 2048 2463 2661 3072 3284 3548 4926 5322 6144 6568 7096 9852 10644 13136 14192 19704 21288 26272 28384 39408 42576 52544 56768 78816 85152 105088 113536 157632 170304 210176 227072 315264 340608 420352 454144 630528 681216 728227 840704 908288 1261056 1362432 1456454 1681408 1816576 2184681 2522112 2724864 2912908 4369362 5044224 5449728 5825816 8738724 11651632 17477448 23303264 34954896 46606528 69909792 93213056 139819584 186426112 279639168 372852224 559278336 745704448 1118556672 1491408896 2237113344 4474226688