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4070817216 = 26335344449
BaseRepresentation
bin1111001010100011…
…1011110111000000
3101111200221221102000
43302220323313000
531314112122331
61511535424000
7202610242524
oct36250736700
911450857360
104070817216
1117a9963254
12957385000
134cb4b81ab
142a8909d84
1518c5b30e6
hexf2a3bdc0

4070817216 has 112 divisors (see below), whose sum is σ = 12193524000. Its totient is φ = 1331306496.

The previous prime is 4070817211. The next prime is 4070817227. The reversal of 4070817216 is 6127180704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4070817211) 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 15 ways as a sum of consecutive naturals, for example, 69360 + ... + 113808.

It is an arithmetic number, because the mean of its divisors is an integer number (108870750).

Almost surely, 24070817216 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 4070817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096762000).

4070817216 is an abundant number, since it is smaller than the sum of its proper divisors (8122706784).

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

4070817216 is a wasteful number, since it uses less digits than its factorization.

4070817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44523 (or 44507 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 4070817216 is about 63802.9561697575. The cubic root of 4070817216 is about 1596.7142486845.

The spelling of 4070817216 in words is "four billion, seventy million, eight hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 424 432 477 576 636 848 864 954 1272 1431 1696 1728 1908 2544 2862 3392 3816 5088 5724 7632 10176 11448 15264 22896 30528 44449 45792 88898 91584 133347 177796 266694 355592 400041 533388 711184 800082 1066776 1200123 1422368 1600164 2133552 2355797 2400246 2844736 3200328 4267104 4711594 4800492 6400656 7067391 8534208 9423188 9600984 12801312 14134782 18846376 19201968 21202173 25602624 28269564 37692752 38403936 42404346 56539128 63606519 75385504 76807872 84808692 113078256 127213038 150771008 169617384 226156512 254426076 339234768 452313024 508852152 678469536 1017704304 1356939072 2035408608 4070817216