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33244242024 = 2337312205913
BaseRepresentation
bin11110111101100000…
…101110000001101000
310011210211220110210010
4132331200232001220
51021041011221044
623134443251520
72254552252260
oct367540560150
9104724813703
1033244242024
111310a565094
126539519ba0
13319a554236
14187526c7a0
15ce8865bb9
hex7bd82e068

33244242024 has 96 divisors (see below), whose sum is σ = 98146848960. Its totient is φ = 9191911680.

The previous prime is 33244242023. The next prime is 33244242029. The reversal of 33244242024 is 42024244233.

It is a super-2 number, since 2×332442420242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33244241982 and 33244242000.

It is not an unprimeable number, because it can be changed into a prime (33244242023) 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, 58492 + ... + 264404.

It is an arithmetic number, because the mean of its divisors is an integer number (1022363010).

Almost surely, 233244242024 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 33244242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49073424480).

33244242024 is an abundant number, since it is smaller than the sum of its proper divisors (64902606936).

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

33244242024 is a wasteful number, since it uses less digits than its factorization.

33244242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205991 (or 205956 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 33244242024 its reverse (42024244233), we get a palindrome (75268486257).

The spelling of 33244242024 in words is "thirty-three billion, two hundred forty-four million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 961 1302 1736 1922 2604 2883 3844 5208 5766 6727 7688 11532 13454 20181 23064 26908 40362 53816 80724 161448 205913 411826 617739 823652 1235478 1441391 1647304 2470956 2882782 4324173 4941912 5765564 6383303 8648346 11531128 12766606 17296692 19149909 25533212 34593384 38299818 44683121 51066424 76599636 89366242 134049363 153199272 178732484 197882393 268098726 357464968 395764786 536197452 593647179 791529572 1072394904 1187294358 1385176751 1583059144 2374588716 2770353502 4155530253 4749177432 5540707004 8311060506 11081414008 16622121012 33244242024