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2133014012032 = 27431723224921
BaseRepresentation
bin11111000010100001100…
…010101110000010000000
321112220200102011202211011
4133002201202232002000
5234421403041341112
64311520524530304
7310051034644351
oct37024142560200
97486612152734
102133014012032
11752673890852
122a54860b0994
131261b09b8177
147534a36bd28
153a740751aa7
hex1f0a18ae080

2133014012032 has 64 divisors (see below), whose sum is σ = 4350729224160. Its totient is φ = 1041095301120.

The previous prime is 2133014011963. The next prime is 2133014012047. The reversal of 2133014012032 is 2302104103312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2133014011994 and 2133014012012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9370932 + ... + 9595852.

Almost surely, 22133014012032 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 2133014012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175364612080).

2133014012032 is an abundant number, since it is smaller than the sum of its proper divisors (2217715212128).

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

2133014012032 is a wasteful number, since it uses less digits than its factorization.

2133014012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226701 (or 226689 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2133014012032 its reverse (2302104103312), we get a palindrome (4435118115344).

The spelling of 2133014012032 in words is "two trillion, one hundred thirty-three billion, fourteen million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 1723 2752 3446 5504 6892 13784 27568 55136 74089 110272 148178 220544 224921 296356 449842 592712 899684 1185424 1799368 2370848 3598736 4741696 7197472 9483392 9671603 14394944 19343206 28789888 38686412 77372824 154745648 309491296 387538883 618982592 775077766 1237965184 1550155532 3100311064 6200622128 12401244256 16664171969 24802488512 33328343938 49604977024 66656687876 133313375752 266626751504 533253503008 1066507006016 2133014012032