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4461013312 = 26722236379
BaseRepresentation
bin1000010011110010…
…11010100101000000
3102111220011221211021
410021321122211000
533114004411222
62014354555224
7215355662500
oct41171324500
912456157737
104461013312
11198a142368
12a45b98b14
135612a6262
1430467ba00
151b198bac7
hex109e5a940

4461013312 has 84 divisors (see below), whose sum is σ = 10345399680. Its totient is φ = 1902991104.

The previous prime is 4461013267. The next prime is 4461013313. The reversal of 4461013312 is 2133101644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461013313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 696139 + ... + 702517.

It is an arithmetic number, because the mean of its divisors is an integer number (123159520).

Almost surely, 24461013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4461013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172699840).

4461013312 is an abundant number, since it is smaller than the sum of its proper divisors (5884386368).

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

4461013312 is a wasteful number, since it uses less digits than its factorization.

4461013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4461013312 is about 66790.8175724777. The cubic root of 4461013312 is about 1646.1819662833.

Adding to 4461013312 its reverse (2133101644), we get a palindrome (6594114956).

The spelling of 4461013312 in words is "four billion, four hundred sixty-one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 223 224 392 446 448 784 892 1561 1568 1784 3122 3136 3568 6244 6379 7136 10927 12488 12758 14272 21854 24976 25516 43708 44653 49952 51032 87416 89306 99904 102064 174832 178612 204128 312571 349664 357224 408256 625142 699328 714448 1250284 1422517 1428896 2500568 2845034 2857792 5001136 5690068 9957619 10002272 11380136 19915238 20004544 22760272 39830476 45520544 69703333 79660952 91041088 139406666 159321904 278813332 318643808 557626664 637287616 1115253328 2230506656 4461013312