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74905394512 = 241310712726501
BaseRepresentation
bin100010111000010110…
…1011001110101010000
321011100021201022002211
41011300231121311100
52211401240111022
654224442321504
75261140230244
oct1056055316520
9234307638084
1074905394512
1129849162623
12126257b9294
1370a9800c60
1438a82cc424
151e360cae77
hex1170b59d50

74905394512 has 80 divisors (see below), whose sum is σ = 159001823232. Its totient is φ = 33977664000.

The previous prime is 74905394483. The next prime is 74905394527. The reversal of 74905394512 is 21549350947.

It is a super-3 number, since 3×749053945123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 2813262 + ... + 2839762.

Almost surely, 274905394512 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 74905394512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79500911616).

74905394512 is an abundant number, since it is smaller than the sum of its proper divisors (84096428720).

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

74905394512 is a wasteful number, since it uses less digits than its factorization.

74905394512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26756 (or 26750 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 74905394512 in words is "seventy-four billion, nine hundred five million, three hundred ninety-four thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 107 127 208 214 254 428 508 856 1016 1391 1651 1712 2032 2782 3302 5564 6604 11128 13208 13589 22256 26416 26501 27178 53002 54356 106004 108712 176657 212008 217424 344513 353314 424016 689026 706628 1378052 1413256 2756104 2826512 2835607 3365627 5512208 5671214 6731254 11342428 13462508 22684856 26925016 36862891 43753151 45369712 53850032 73725782 87506302 147451564 175012604 294903128 350025208 360122089 589806256 700050416 720244178 1440488356 2880976712 4681587157 5761953424 9363174314 18726348628 37452697256 74905394512