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23145604260519 = 313101173257283467
BaseRepresentation
bin1010100001101000000011…
…00001010010001010100111
310000221200211221211121000110
411100310001201102022213
511013204144142314034
6121120535510144103
74606133436045156
oct520640141221247
9100850757747013
1023145604260519
117413aa5222814
122719934052033
13cbb80c7923c0
145a0378bb959d
152a210c312de9
hex150d018522a7

23145604260519 has 128 divisors (see below), whose sum is σ = 34081707598848. Its totient is φ = 13887199641600.

The previous prime is 23145604260481. The next prime is 23145604260521. The reversal of 23145604260519 is 91506240654132.

It is not a de Polignac number, because 23145604260519 - 215 = 23145604227751 is a prime.

It is a super-2 number, since 2×231456042605192 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145604260539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49562321524 + ... + 49562321990.

It is an arithmetic number, because the mean of its divisors is an integer number (266263340616).

Almost surely, 223145604260519 is an apocalyptic number.

23145604260519 is a deficient number, since it is larger than the sum of its proper divisors (10936103338329).

23145604260519 is a wasteful number, since it uses less digits than its factorization.

23145604260519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 23145604260519 in words is "twenty-three trillion, one hundred forty-five billion, six hundred four million, two hundred sixty thousand, five hundred nineteen".

Divisors: 1 3 13 39 101 173 257 283 303 467 519 771 849 1313 1401 2249 3341 3679 3939 6071 6747 10023 11037 17473 18213 25957 28583 44461 47167 48959 52419 72731 77871 80791 85749 120019 132161 133383 141501 146877 218193 227149 242373 337441 360057 371579 396483 577993 613171 636467 681447 945503 1012323 1050283 1114737 1560247 1718093 1733979 1839513 1909401 2836509 3150849 4490561 4680741 4944859 5154279 7345831 8159891 12121919 12582463 13348261 13471683 14834577 20763287 22037493 22863853 24479673 33965377 36365757 37747389 40044783 58377293 62289861 64283167 68591559 95495803 101896131 106078583 157584947 163572019 173527393 175131879 192849501 269922731 286487409 297230089 318235749 441549901 472754841 490716057 520582179 809768193 891690267 1270828763 1324649703 2097091987 2309249153 3430503077 3812486289 5876010221 6291275961 6927747459 10291509231 16520773919 17628030663 27262195831 30020238989 44596540001 49562321757 76388132873 81786587493 90060716967 133789620003 229164398619 593477032321 1780431096963 7715201420173 23145604260519