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33243441112 = 237173120829
BaseRepresentation
bin11110111101011101…
…101010011111011000
310011210210101210010201
4132331131222133120
51021040310103422
623134414151544
72254542405250
oct367535523730
9104723353121
1033243441112
111310a068382
1265391b25b4
13319a33381b
141875100960
15ce8758727
hex7bd76a7d8

33243441112 has 64 divisors (see below), whose sum is σ = 75687912000. Its totient is φ = 13409008128.

The previous prime is 33243441109. The next prime is 33243441157. The reversal of 33243441112 is 21114434233.

It is a happy number.

It is a super-2 number, since 2×332434411122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214714 + ... + 335542.

It is an arithmetic number, because the mean of its divisors is an integer number (1182623625).

Almost surely, 233243441112 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 33243441112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37843956000).

33243441112 is an abundant number, since it is smaller than the sum of its proper divisors (42444470888).

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

33243441112 is a wasteful number, since it uses less digits than its factorization.

33243441112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120893 (or 120855 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 33243441112 its reverse (21114434233), we get a palindrome (54357875345).

The spelling of 33243441112 in words is "thirty-three billion, two hundred forty-three million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 4913 8092 9826 16184 19652 34391 39304 68782 120829 137564 241658 275128 483316 845803 966632 1691606 2054093 3383212 4108186 6766424 8216372 14378651 16432744 28757302 34919581 57514604 69839162 115029208 139678324 244437067 279356648 488874134 593632877 977748268 1187265754 1955496536 2374531508 4155430139 4749063016 8310860278 16621720556 33243441112