Search a number
-
+
33500046000 = 2435329192529
BaseRepresentation
bin11111001100110000…
…100010001010110000
310012110200020122212110
4133030300202022300
51022102002433000
623220102125320
72264106456411
oct371460421260
9105420218773
1033500046000
11132309a2433
1265ab120840
13320b549635
14189b219808
15d11044850
hex7ccc222b0

33500046000 has 160 divisors (see below), whose sum is σ = 111729009600. Its totient is φ = 8625254400.

The previous prime is 33500045983. The next prime is 33500046011. The reversal of 33500046000 is 64000533.

It is a super-2 number, since 2×335000460002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77736 + ... + 270264.

It is an arithmetic number, because the mean of its divisors is an integer number (698306310).

Almost surely, 233500046000 is an apocalyptic number.

33500046000 is a gapful number since it is divisible by the number (30) 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 33500046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55864504800).

33500046000 is an abundant number, since it is smaller than the sum of its proper divisors (78228963600).

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

33500046000 is a wasteful number, since it uses less digits than its factorization.

33500046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192584 (or 192568 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 33500046000 its reverse (64000533), we get a palindrome (33564046533).

The spelling of 33500046000 in words is "thirty-three billion, five hundred million, forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8700 10875 11600 14500 17400 21750 29000 34800 43500 58000 87000 174000 192529 385058 577587 770116 962645 1155174 1540232 1925290 2310348 2887935 3080464 3850580 4620696 4813225 5583341 5775870 7701160 9241392 9626450 11166682 11551740 14439675 15402320 16750023 19252900 22333364 23103480 24066125 27916705 28879350 33500046 38505800 44666728 46206960 48132250 55833410 57758700 67000092 72198375 77011600 83750115 89333456 96264500 111666820 115517400 134000184 139583525 144396750 167500230 192529000 223333640 231034800 268000368 279167050 288793500 335000460 385058000 418750575 446667280 558334100 577587000 670000920 697917625 837501150 1116668200 1155174000 1340001840 1395835250 1675002300 2093752875 2233336400 2791670500 3350004600 4187505750 5583341000 6700009200 8375011500 11166682000 16750023000 33500046000