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74434450000 = 24557320393
BaseRepresentation
bin100010101010010100…
…0111001001001010000
321010010110112211200111
41011110220321021100
52204420204400000
654110020331104
75243361246211
oct1052450711120
9233113484614
1074434450000
1129627340a89
1212513b43a94
13703307cc71
14386193b408
151e09aa1cba
hex1154a39250

74434450000 has 120 divisors (see below), whose sum is σ = 182737663416. Its totient is φ = 29364480000.

The previous prime is 74434449953. The next prime is 74434450009. The reversal of 74434450000 is 5443447.

It can be written as a sum of positive squares in 12 ways, for example, as 73807848976 + 626601024 = 271676^2 + 25032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74434450009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3639804 + ... + 3660196.

Almost surely, 274434450000 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 74434450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91368831708).

74434450000 is an abundant number, since it is smaller than the sum of its proper divisors (108303213416).

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

74434450000 is an equidigital number, since it uses as much as digits as its factorization.

74434450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20499 (or 20473 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

Adding to 74434450000 its reverse (5443447), we get a palindrome (74439893447).

The spelling of 74434450000 in words is "seventy-four billion, four hundred thirty-four million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 625 730 1000 1168 1250 1460 1825 2000 2500 2920 3125 3650 5000 5840 6250 7300 9125 10000 12500 14600 18250 20393 25000 29200 36500 40786 45625 50000 73000 81572 91250 101965 146000 163144 182500 203930 228125 326288 365000 407860 456250 509825 730000 815720 912500 1019650 1488689 1631440 1825000 2039300 2549125 2977378 3650000 4078600 5098250 5954756 7443445 8157200 10196500 11909512 12745625 14886890 20393000 23819024 25491250 29773780 37217225 40786000 50982500 59547560 63728125 74434450 101965000 119095120 127456250 148868900 186086125 203930000 254912500 297737800 372172250 509825000 595475600 744344500 930430625 1019650000 1488689000 1860861250 2977378000 3721722500 4652153125 7443445000 9304306250 14886890000 18608612500 37217225000 74434450000