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23365420046034 = 23113789308334871
BaseRepresentation
bin1010101000000001011111…
…00011111101011011010010
310001201201020022000110222220
411110000233203331123102
511030304340012433114
6121405531545241510
74631044614305463
oct524005743753322
9101651208013886
1023365420046034
117499245531960
12275445ba93296
13100647126ac41
145aac6c90cd6a
152a7bc52660a9
hex15402f8fd6d2

23365420046034 has 128 divisors (see below), whose sum is σ = 52963883735040. Its totient is φ = 6809257382400.

The previous prime is 23365420045963. The next prime is 23365420046041. The reversal of 23365420046034 is 43064002456332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670035619 + ... + 670070489.

It is an arithmetic number, because the mean of its divisors is an integer number (413780341680).

Almost surely, 223365420046034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23365420046034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26481941867520).

23365420046034 is an abundant number, since it is smaller than the sum of its proper divisors (29598463689006).

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

23365420046034 is a wasteful number, since it uses less digits than its factorization.

23365420046034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38096.

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 23365420046034 in words is "twenty-three trillion, three hundred sixty-five billion, four hundred twenty million, forty-six thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 89 111 178 222 267 407 534 814 979 1221 1958 2442 2937 3083 3293 5874 6166 6586 9249 9879 18498 19758 33913 34871 36223 67826 69742 72446 101739 104613 108669 114071 203478 209226 217338 228142 274387 342213 383581 548774 684426 767162 823161 1150743 1254781 1290227 1646322 2301486 2509562 2580454 3018257 3103519 3764343 3870681 6036514 6207038 7528686 7741362 9054771 9310557 10152319 14192497 18109542 18621114 20304638 28384994 30456957 34138709 42577491 60913914 68277418 85154982 102416127 107507293 111675509 114830203 204832254 215014586 223351018 229660406 322521879 335026527 344490609 645043758 670053054 688981218 1182580223 1263132233 2365160446 2526264466 3547740669 3789396699 3977769841 7095481338 7578793398 7955539682 9568149077 11933309523 19136298154 23866619046 28704447231 43755468251 57408894462 87510936502 105249639847 131266404753 210499279694 262532809506 315748919541 354021515849 631497839082 708043031698 1062064547547 2124129095094 3894236674339 7788473348678 11682710023017 23365420046034