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74838235220 = 22573152332971
BaseRepresentation
bin100010110110010110…
…1001101100001010100
321011011121100020212122
41011230231031201110
52211232042011340
654214043035112
75256363334460
oct1055455154124
9234147306778
1074838235220
1129814261881
121260720ba98
137098918428
14389d4094a0
151e30261db5
hex116cb4d854

74838235220 has 96 divisors (see below), whose sum is σ = 185765830656. Its totient is φ = 24782889600.

The previous prime is 74838235187. The next prime is 74838235247. The reversal of 74838235220 is 2253283847.

It is a super-2 number, since 2×748382352202 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2253335 + ... + 2286305.

It is an arithmetic number, because the mean of its divisors is an integer number (1935060736).

Almost surely, 274838235220 is an apocalyptic number.

74838235220 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 74838235220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92882915328).

74838235220 is an abundant number, since it is smaller than the sum of its proper divisors (110927595436).

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

74838235220 is a wasteful number, since it uses less digits than its factorization.

74838235220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33541 (or 33539 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 74838235220 in words is "seventy-four billion, eight hundred thirty-eight million, two hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 523 620 868 1046 1085 2092 2170 2615 3661 4340 5230 7322 10460 14644 16213 18305 32426 32971 36610 64852 65942 73220 81065 113491 131884 162130 164855 226982 230797 324260 329710 453964 461594 567455 659420 923188 1022101 1134910 1153985 2044202 2269820 2307970 4088404 4615940 5110505 7154707 10221010 14309414 17243833 20442020 28618828 34487666 35773535 68975332 71547070 86219165 120706831 143094140 172438330 241413662 344876660 482827324 534558823 603534155 1069117646 1207068310 2138235292 2414136620 2672794115 3741911761 5345588230 7483823522 10691176460 14967647044 18709558805 37419117610 74838235220