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44768000442 = 23112637573407
BaseRepresentation
bin101001101100011000…
…010111100110111010
311021112221220001111110
4221230120113212322
51213141102003232
632322141341150
73143251503504
oct515430274672
9137487801443
1044768000442
1117a93407380
1288148677b6
1342b5b319b9
14224991ad74
1512703b2acc
hexa6c6179ba

44768000442 has 64 divisors (see below), whose sum is σ = 98205364224. Its totient is φ = 13492664640.

The previous prime is 44768000441. The next prime is 44768000489. The reversal of 44768000442 is 24400086744.

It is a self number, because there is not a number n which added to its sum of digits gives 44768000442.

It is not an unprimeable number, because it can be changed into a prime (44768000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13138303 + ... + 13141709.

It is an arithmetic number, because the mean of its divisors is an integer number (1534458816).

Almost surely, 244768000442 is an apocalyptic number.

44768000442 is an abundant number, since it is smaller than the sum of its proper divisors (53437363782).

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

44768000442 is a wasteful number, since it uses less digits than its factorization.

44768000442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443.

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 44768000442 in words is "forty-four billion, seven hundred sixty-eight million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 263 526 757 789 1514 1578 2271 2893 3407 4542 5786 6814 8327 8679 10221 16654 17358 20442 24981 37477 49962 74954 112431 199091 224862 398182 597273 896041 1194546 1792082 2190001 2579099 2688123 4380002 5158198 5376246 6570003 7737297 9856451 13140006 15474594 19712902 28370089 29569353 56740178 59138706 85110267 170220534 678303037 1356606074 2034909111 4069818222 7461333407 14922666814 22384000221 44768000442