Search a number
-
+
33000213344 = 257617193359
BaseRepresentation
bin11110101110111101…
…110100101101100000
310011011211201112100212
4132232331310231200
51020041023311334
623054325033252
72245530120350
oct365675645540
9104154645325
1033000213344
1112aa483a79a
12648b855828
13315bb22777
141850aa8b60
15cd2210ece
hex7aef74b60

33000213344 has 96 divisors (see below), whose sum is σ = 75595161600. Its totient is φ = 13887613440.

The previous prime is 33000213329. The next prime is 33000213349. The reversal of 33000213344 is 44331200033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000213349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9822737 + ... + 9826095.

It is an arithmetic number, because the mean of its divisors is an integer number (787449600).

Almost surely, 233000213344 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 33000213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37797580800).

33000213344 is an abundant number, since it is smaller than the sum of its proper divisors (42594948256).

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

33000213344 is a wasteful number, since it uses less digits than its factorization.

33000213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 33000213344 its reverse (44331200033), we get a palindrome (77331413377).

The spelling of 33000213344 in words is "thirty-three billion, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 719 854 976 1438 1708 1952 2876 3359 3416 5033 5752 6718 6832 10066 11504 13436 13664 20132 23008 23513 26872 40264 43859 47026 53744 80528 87718 94052 107488 161056 175436 188104 204899 307013 350872 376208 409798 614026 701744 752416 819596 1228052 1403488 1434293 1639192 2415121 2456104 2868586 3278384 4830242 4912208 5737172 6556768 9660484 9824416 11474344 16905847 19320968 22948688 33811694 38641936 45897376 67623388 77283872 135246776 147322381 270493552 294644762 540987104 589289524 1031256667 1178579048 2062513334 2357158096 4125026668 4714316192 8250053336 16500106672 33000213344