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22313116450432 = 27371814688449
BaseRepresentation
bin1010001001011001011010…
…11000010011111010000000
32221000010001110011002210101
411010230231120103322000
510411034230302403212
6115242300523212144
74462032553315513
oct504545530237200
987003043132711
1022313116450432
117122a375974a5
122604521677054
13c5b16bbcba82
14571d63c4cd7a
1528a636cc8157
hex144b2d613e80

22313116450432 has 32 divisors (see below), whose sum is σ = 44453116714500. Its totient is φ = 11156255784960.

The previous prime is 22313116450397. The next prime is 22313116450453. The reversal of 22313116450432 is 23405461131322.

It can be written as a sum of positive squares in 2 ways, for example, as 21090358195776 + 1222758254656 = 4592424^2 + 1105784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×223131164504323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22313116450391 and 22313116450400.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2414944 + ... + 7103392.

Almost surely, 222313116450432 is an apocalyptic number.

It is an amenable number.

22313116450432 is a deficient number, since it is larger than the sum of its proper divisors (22140000264068).

22313116450432 is an equidigital number, since it uses as much as digits as its factorization.

22313116450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725644 (or 4725632 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 22313116450432 its reverse (23405461131322), we get a palindrome (45718577581754).

The spelling of 22313116450432 in words is "twenty-two trillion, three hundred thirteen billion, one hundred sixteen million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 37181 74362 148724 297448 594896 1189792 2379584 4688449 4759168 9376898 18753796 37507592 75015184 150030368 300060736 600121472 174321222269 348642444538 697284889076 1394569778152 2789139556304 5578279112608 11156558225216 22313116450432