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75426327440 = 24571119311131
BaseRepresentation
bin100011000111111000…
…0100110101110010000
321012200120221102201222
41012033300212232100
52213433114434230
654352251544212
75310064130162
oct1061760465620
9235616842658
1075426327440
1129a96217202
121275015b068
137160704ca9
143917572932
151e66bcb6e5
hex118fc26b90

75426327440 has 80 divisors (see below), whose sum is σ = 178001214336. Its totient is φ = 29717990400.

The previous prime is 75426327407. The next prime is 75426327463. The reversal of 75426327440 is 4472362457.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 75426327391 and 75426327400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6770675 + ... + 6781805.

Almost surely, 275426327440 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 75426327440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89000607168).

75426327440 is an abundant number, since it is smaller than the sum of its proper divisors (102574886896).

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

75426327440 is a wasteful number, since it uses less digits than its factorization.

75426327440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 44.

Adding to 75426327440 its reverse (4472362457), we get a palindrome (79898689897).

The spelling of 75426327440 in words is "seventy-five billion, four hundred twenty-six million, three hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1193 1420 2386 2840 4772 5680 5965 9544 11131 11930 19088 22262 23860 44524 47720 55655 84703 89048 95440 111310 169406 178096 222620 338812 423515 445240 677624 790301 847030 890480 1355248 1580602 1694060 3161204 3388120 3951505 6322408 6776240 7903010 12644816 13279283 15806020 26558566 31612040 53117132 63224080 66396415 106234264 132792830 212468528 265585660 531171320 942829093 1062342640 1885658186 3771316372 4714145465 7542632744 9428290930 15085265488 18856581860 37713163720 75426327440