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564420313743 = 311132370980681
BaseRepresentation
bin10000011011010100001…
…00101000001010001111
31222221212102101201111120
420031222010220022033
533221413100014433
61111142514052023
755530601336206
oct10155204501217
91887772351446
10564420313743
111a8407609710
129147b27a013
13412bc601110
141d464b9c23d
15ea364837b3
hex836a12828f

564420313743 has 64 divisors (see below), whose sum is σ = 923879900160. Its totient is φ = 301601203200.

The previous prime is 564420313739. The next prime is 564420313763. The reversal of 564420313743 is 347313024465.

It is a happy number.

It is not a de Polignac number, because 564420313743 - 22 = 564420313739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564420313695 and 564420313704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564420313763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6955363 + ... + 7036043.

It is an arithmetic number, because the mean of its divisors is an integer number (14435623440).

Almost surely, 2564420313743 is an apocalyptic number.

564420313743 is a deficient number, since it is larger than the sum of its proper divisors (359459586417).

564420313743 is a wasteful number, since it uses less digits than its factorization.

564420313743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81440.

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 564420313743 in words is "five hundred sixty-four billion, four hundred twenty million, three hundred thirteen thousand, seven hundred forty-three".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 429 709 759 897 2127 3289 7799 9217 9867 16307 23397 27651 48921 80681 101387 179377 211991 242043 304161 538131 635973 887491 1048853 1855663 2331901 2662473 3146559 5566989 6995703 11537383 20412293 24123619 34612149 57202829 61236879 72370857 171608487 265359809 629231119 743636777 796079427 1315665067 1887693357 2230910331 3946995201 8180004547 14472315737 17103645871 24540013641 43416947211 51310937613 188140104581 564420313743