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744564376003253 = 132931546991263583
BaseRepresentation
bin1010100101001011010110011…
…1001001001110001010110101
310121122021122210112211221011212
42221102311213021032022311
51240042420320224101003
611155320052522011205
7312555000223411511
oct25122654711161265
93548248715757155
10744564376003253
111a6271a84556323
126b611693046b05
1325c5c1723a1320
14d1c1172801141
155b12c64c93dd8
hex2a52d6724e2b5

744564376003253 has 16 divisors (see below), whose sum is σ = 804581046796800. Its totient is φ = 684939523258944.

The previous prime is 744564376003199. The next prime is 744564376003309. The reversal of 744564376003253 is 352300673465447.

744564376003253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 744564376003253 - 216 = 744564375937717 is a prime.

It is a super-2 number, since 2×7445643760032532 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 744564376003192 and 744564376003201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744564376003853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588616700 + ... + 589880282.

It is an arithmetic number, because the mean of its divisors is an integer number (50286315424800).

Almost surely, 2744564376003253 is an apocalyptic number.

It is an amenable number.

744564376003253 is a deficient number, since it is larger than the sum of its proper divisors (60016670793547).

744564376003253 is a wasteful number, since it uses less digits than its factorization.

744564376003253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418588.

The product of its (nonzero) digits is 152409600, while the sum is 59.

The spelling of 744564376003253 in words is "seven hundred forty-four trillion, five hundred sixty-four billion, three hundred seventy-six million, three thousand, two hundred fifty-three".

Divisors: 1 13 293 3809 154699 1263583 2011087 16426579 45326807 370229819 589248491 4812987647 195475026517 2541175344721 57274182769481 744564376003253