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642353202353247 = 371160135771129347
BaseRepresentation
bin1001001000001101111000001…
…0011100100101010001011111
310010020101100220010012122011120
42102003132002130211101133
51133143303324300300442
610154100553134022023
7252205326112311120
oct22203360234452137
93106340803178146
10642353202353247
11176745510684580
126006442b947913
13217568547baa38
14b48a0bd0a8047
154e3e1331314ec
hex248378272545f

642353202353247 has 64 divisors (see below), whose sum is σ = 1069622809694208. Its totient is φ = 333122862240000.

The previous prime is 642353202353209. The next prime is 642353202353249. The reversal of 642353202353247 is 742353202353246.

It is a happy number.

It is not a de Polignac number, because 642353202353247 - 210 = 642353202352223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 642353202353247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642353202353249) by changing a digit.

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, 4966059028 + ... + 4966188374.

It is an arithmetic number, because the mean of its divisors is an integer number (16712856401472).

Almost surely, 2642353202353247 is an apocalyptic number.

642353202353247 is a deficient number, since it is larger than the sum of its proper divisors (427269607340961).

642353202353247 is a wasteful number, since it uses less digits than its factorization.

642353202353247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165740.

The product of its (nonzero) digits is 21772800, while the sum is 51.

Subtracting 642353202353247 from its reverse (742353202353246), we obtain a palindrome (99999999999999).

The spelling of 642353202353247 in words is "six hundred forty-two trillion, three hundred fifty-three billion, two hundred two million, three hundred fifty-three thousand, two hundred forty-seven".

Divisors: 1 3 7 11 21 33 77 231 601 1803 4207 6611 12621 19833 35771 46277 107313 129347 138831 250397 388041 393481 751191 905429 1180443 1422817 2716287 2754367 4268451 8263101 9959719 21498371 29879157 64495113 77737547 150488597 233212641 236482081 451465791 544162829 709446243 855113017 1632488487 1655374567 2565339051 4626871537 4966123701 5985791119 13880614611 17957373357 32388100759 50895586907 97164302277 152686760721 356269108349 1068807325047 2780749793737 8342249381211 19465248556159 30588247731107 58395745668477 91764743193321 214117734117749 642353202353247