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74629577204 = 227213281104233
BaseRepresentation
bin100010110000001000…
…1001111100111110100
321010122001201022212222
41011200101033213310
52210320132432304
654141230501512
75251250640200
oct1054021174764
9233561638788
1074629577204
11297174a5a36
1212569364898
13706461c350
14387d811b00
151e1bc974be
hex116044f9f4

74629577204 has 72 divisors (see below), whose sum is σ = 164194816968. Its totient is φ = 29418439680.

The previous prime is 74629577203. The next prime is 74629577207. The reversal of 74629577204 is 40277592647.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12403276900 + 62226300304 = 111370^2 + 249452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74629577203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 663872 + ... + 768104.

It is an arithmetic number, because the mean of its divisors is an integer number (2280483569).

Almost surely, 274629577204 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 74629577204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82097408484).

74629577204 is an abundant number, since it is smaller than the sum of its proper divisors (89565239764).

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

74629577204 is a wasteful number, since it uses less digits than its factorization.

74629577204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104545 (or 104536 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 53.

The spelling of 74629577204 in words is "seventy-four billion, six hundred twenty-nine million, five hundred seventy-seven thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 281 364 562 637 1124 1274 1967 2548 3653 3934 7306 7868 13769 14612 25571 27538 51142 55076 102284 104233 178997 208466 357994 416932 715988 729631 1355029 1459262 2710058 2918524 5107417 5420116 9485203 10214834 18970406 20429668 29289473 37940812 58578946 66396421 117157892 132792842 205026311 265585684 380763149 410052622 761526298 820105244 1435184177 1523052596 2665342043 2870368354 5330684086 5740736708 10661368172 18657394301 37314788602 74629577204