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3283771442336 = 257111789744941
BaseRepresentation
bin101111110010010000000…
…001111100010010100000
3102121220222200022011012222
4233302100001330102200
5412300130442123321
610552313242210212
7456146626501310
oct57622001742240
912556880264188
103283771442336
11105670440a450
124505004b3968
131aa87342c968
14b4d149ad440
155a6423113ab
hex2fc9007c4a0

3283771442336 has 96 divisors (see below), whose sum is σ = 8064682496640. Its totient is φ = 1278674611200.

The previous prime is 3283771442327. The next prime is 3283771442389. The reversal of 3283771442336 is 6332441773823.

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 15 ways as a sum of consecutive naturals, for example, 4035626 + ... + 4780566.

It is an arithmetic number, because the mean of its divisors is an integer number (84007109340).

Almost surely, 23283771442336 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 3283771442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032341248320).

3283771442336 is an abundant number, since it is smaller than the sum of its proper divisors (4780911054304).

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

3283771442336 is a wasteful number, since it uses less digits than its factorization.

3283771442336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746758 (or 746750 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 53.

The spelling of 3283771442336 in words is "three trillion, two hundred eighty-three billion, seven hundred seventy-one million, four hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1789 2464 3578 7156 12523 14312 19679 25046 28624 39358 50092 57248 78716 100184 137753 157432 200368 275506 314864 400736 551012 629728 744941 1102024 1489882 2204048 2979764 4408096 5214587 5959528 8194351 10429174 11919056 16388702 20858348 23838112 32777404 41716696 57360457 65554808 83433392 114720914 131109616 166866784 229441828 262219232 458883656 917767312 1332699449 1835534624 2665398898 5330797796 9328896143 10661595592 14659693939 18657792286 21323191184 29319387878 37315584572 42646382368 58638775756 74631169144 102617857573 117277551512 149262338288 205235715146 234555103024 298524676576 410471430292 469110206048 820942860584 1641885721168 3283771442336