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75681851140 = 225710716573049
BaseRepresentation
bin100011001111011111…
…1010110011100000100
321020100101202101100201
41012132333112130010
52214444023214030
654433500420244
75316316056220
oct1063677263404
9236311671321
1075681851140
112a107482a15
1212801847684
1371a162c94c
14393d489780
151e7e3522ca
hex119efd6704

75681851140 has 96 divisors (see below), whose sum is σ = 183504787200. Its totient is φ = 25681618944.

The previous prime is 75681851131. The next prime is 75681851143. The reversal of 75681851140 is 4115818657.

It is not an unprimeable number, because it can be changed into a prime (75681851143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24820336 + ... + 24823384.

It is an arithmetic number, because the mean of its divisors is an integer number (1911508200).

Almost surely, 275681851140 is an apocalyptic number.

75681851140 is a gapful number since it is divisible by the number (70) 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 75681851140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91752393600).

75681851140 is an abundant number, since it is smaller than the sum of its proper divisors (107822936060).

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

75681851140 is a wasteful number, since it uses less digits than its factorization.

75681851140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 46.

The spelling of 75681851140 in words is "seventy-five billion, six hundred eighty-one million, eight hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 1657 2140 2996 3049 3314 3745 6098 6628 7490 8285 11599 12196 14980 15245 16570 21343 23198 30490 33140 42686 46396 57995 60980 85372 106715 115990 177299 213430 231980 326243 354598 426860 652486 709196 886495 1241093 1304972 1631215 1772990 2283701 2482186 3262430 3545980 4567402 4964372 5052193 6205465 6524860 9134804 10104386 11418505 12410930 20208772 22837010 24821860 25260965 35365351 45674020 50521930 70730702 101043860 141461404 176826755 353653510 540584651 707307020 1081169302 2162338604 2702923255 3784092557 5405846510 7568185114 10811693020 15136370228 18920462785 37840925570 75681851140