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33412005414 = 234206246947
BaseRepresentation
bin11111000111100000…
…101011111000100110
310012020112120201220000
4133013200223320212
51021411433133124
623203235122130
72261660234334
oct370740537046
9105215521800
1033412005414
111319622a217
126585743346
1331c6232508
14188d65cb54
15d084536c9
hex7c782be26

33412005414 has 20 divisors (see below), whose sum is σ = 74867642124. Its totient is φ = 11137335084.

The previous prime is 33412005413. The next prime is 33412005421. The reversal of 33412005414 is 41450021433.

It is a happy number.

33412005414 is a `hidden beast` number, since 3 + 3 + 41 + 200 + 5 + 414 = 666.

It is a super-2 number, since 2×334120054142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33412005413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 103123312 + ... + 103123635.

Almost surely, 233412005414 is an apocalyptic number.

33412005414 is an abundant number, since it is smaller than the sum of its proper divisors (41455636710).

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

33412005414 is a wasteful number, since it uses less digits than its factorization.

33412005414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206246961 (or 206246952 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 33412005414 its reverse (41450021433), we get a palindrome (74862026847).

The spelling of 33412005414 in words is "thirty-three billion, four hundred twelve million, five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 206246947 412493894 618740841 1237481682 1856222523 3712445046 5568667569 11137335138 16706002707 33412005414