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4498668944 = 247114384919
BaseRepresentation
bin1000011000010010…
…00011110110010000
3102121112001001122022
410030021003312100
533203124401234
62022222031012
7216324024620
oct41411036620
912545031568
104498668944
1119a9421620
12a56718468
1356902b9b3
14309680880
151b4e28e2e
hex10c243d90

4498668944 has 80 divisors (see below), whose sum is σ = 11119764480. Its totient is φ = 1711946880.

The previous prime is 4498668929. The next prime is 4498668947.

4498668944 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4498668947) 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, 10517 + ... + 95435.

It is an arithmetic number, because the mean of its divisors is an integer number (138997056).

Almost surely, 24498668944 is an apocalyptic number.

4498668944 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 4498668944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559882240).

4498668944 is an abundant number, since it is smaller than the sum of its proper divisors (6621095536).

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

4498668944 is a wasteful number, since it uses less digits than its factorization.

4498668944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84988 (or 84982 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 62.

The square root of 4498668944 is about 67072.1174855841. The cubic root of 4498668944 is about 1650.8008287627.

The spelling of 4498668944 in words is "four billion, four hundred ninety-eight million, six hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 154 172 176 301 308 344 473 602 616 688 946 1204 1232 1892 2408 3311 3784 4816 6622 7568 13244 26488 52976 84919 169838 339676 594433 679352 934109 1188866 1358704 1868218 2377732 3651517 3736436 4755464 6538763 7303034 7472872 9510928 13077526 14606068 14945744 25560619 26155052 29212136 40166687 51121238 52310104 58424272 80333374 102242476 104620208 160666748 204484952 281166809 321333496 408969904 562333618 642666992 1124667236 2249334472 4498668944