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74832516220 = 225711271317911
BaseRepresentation
bin100010110110001011…
…1011001010001111100
321011011012120200212211
41011230113121101330
52211224111004340
654213320310204
75256263615140
oct1055427312174
9234135520784
1074832516220
1129811006030
1212605312364
1370976952c7
14389c75b220
151e2e9d25ea
hex116c5d947c

74832516220 has 96 divisors (see below), whose sum is σ = 196008293376. Its totient is φ = 23314521600.

The previous prime is 74832516211. The next prime is 74832516229. The reversal of 74832516220 is 2261523847.

It is an interprime number because it is at equal distance from previous prime (74832516211) and next prime (74832516229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74832516229) 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, 4169065 + ... + 4186975.

It is an arithmetic number, because the mean of its divisors is an integer number (2041753056).

Almost surely, 274832516220 is an apocalyptic number.

74832516220 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 74832516220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98004146688).

74832516220 is an abundant number, since it is smaller than the sum of its proper divisors (121175777156).

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

74832516220 is a wasteful number, since it uses less digits than its factorization.

74832516220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 74832516220 in words is "seventy-four billion, eight hundred thirty-two million, five hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2713 5426 10852 13565 17911 18991 27130 29843 35822 37982 54260 59686 71644 75964 89555 94955 119372 125377 149215 179110 189910 197021 208901 250754 298430 358220 379820 394042 417802 501508 596860 626885 788084 835604 985105 1044505 1253770 1379147 1970210 2089010 2507540 2758294 3940420 4178020 5516588 6895735 13791470 27582940 48592543 97185086 194370172 242962715 340147801 485925430 534517973 680295602 971850860 1069035946 1360591204 1700739005 2138071892 2672589865 3401478010 3741625811 5345179730 6802956020 7483251622 10690359460 14966503244 18708129055 37416258110 74832516220