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33011540045 = 5112371474717
BaseRepresentation
bin11110101111101001…
…000010000001001101
310011012122000222200022
4132233221002001031
51020101423240140
623055411511525
72246025313661
oct365751020115
9104178028608
1033011540045
1113000176700
1264935b85a5
13316128a163
1418523b68a1
15cd31ec0b5
hex7afa4204d

33011540045 has 24 divisors (see below), whose sum is σ = 44719348632. Its totient is φ = 23359501440.

The previous prime is 33011539943. The next prime is 33011540053. The reversal of 33011540045 is 54004511033.

It can be written as a sum of positive squares in 4 ways, for example, as 14529409444 + 18482130601 = 120538^2 + 135949^2 .

It is a de Polignac number, because none of the positive numbers 2k-33011540045 is a prime.

It is a super-3 number, since 3×330115400453 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33011539996 and 33011540023.

It is a congruent number.

It is an unprimeable number.

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, 714974 + ... + 759743.

It is an arithmetic number, because the mean of its divisors is an integer number (1863306193).

Almost surely, 233011540045 is an apocalyptic number.

It is an amenable number.

33011540045 is a deficient number, since it is larger than the sum of its proper divisors (11707808587).

33011540045 is a wasteful number, since it uses less digits than its factorization.

33011540045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474781 (or 1474770 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 33011540045 in words is "thirty-three billion, eleven million, five hundred forty thousand, forty-five".

Divisors: 1 5 11 37 55 121 185 407 605 2035 4477 22385 1474717 7373585 16221887 54564529 81109435 178440757 272822645 600209819 892203785 3001049095 6602308009 33011540045