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33000013242 = 2327237414981
BaseRepresentation
bin11110101110111101…
…000011110110111010
310011011211100100212200
4132232331003312322
51020041000410432
623054320451030
72245525325100
oct365675036672
9104154310780
1033000013242
1112aa4713419
12648b779a76
13315ba82671
141850a55c70
15cd21c1a7c
hex7aef43dba

33000013242 has 36 divisors (see below), whose sum is σ = 83173504986. Its totient is φ = 9428574960.

The previous prime is 33000013187. The next prime is 33000013259. The reversal of 33000013242 is 24231000033.

It can be written as a sum of positive squares in only one way, i.e., 30241557801 + 2758455441 = 173901^2 + 52521^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 18706609 + ... + 18708372.

Almost surely, 233000013242 is an apocalyptic number.

33000013242 is an abundant number, since it is smaller than the sum of its proper divisors (50173491744).

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

33000013242 is a wasteful number, since it uses less digits than its factorization.

33000013242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37415003 (or 37414993 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33000013242 its reverse (24231000033), we get a palindrome (57231013275).

The spelling of 33000013242 in words is "thirty-three billion, thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 37414981 74829962 112244943 224489886 261904867 336734829 523809734 673469658 785714601 1571429202 1833334069 2357143803 3666668138 4714287606 5500002207 11000004414 16500006621 33000013242