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62344063656401 = 1513115215934297
BaseRepresentation
bin11100010110011100110111…
…10001001010000111010001
322011202000220222201001210112
432023032123301022013101
531132421120244001101
6340332244545411105
716063132005316532
oct1613163361120721
9264660828631715
1062344063656401
1118956a7269a44a
126baa844939a95
1328a3034b72717
14115767c49a689
15731aa38726bb
hex38b39bc4a1d1

62344063656401 has 32 divisors (see below), whose sum is σ = 63200649447936. Its totient is φ = 61495349760000.

The previous prime is 62344063656361. The next prime is 62344063656419. The reversal of 62344063656401 is 10465636044326.

62344063656401 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 62344063656401 - 214 = 62344063640017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 62344063656401.

It is not an unprimeable number, because it can be changed into a prime (62344063656701) 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 31 ways as a sum of consecutive naturals, for example, 14508739685 + ... + 14508743981.

It is an arithmetic number, because the mean of its divisors is an integer number (1975020295248).

Almost surely, 262344063656401 is an apocalyptic number.

It is an amenable number.

62344063656401 is a deficient number, since it is larger than the sum of its proper divisors (856585791535).

62344063656401 is a wasteful number, since it uses less digits than its factorization.

62344063656401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873.

The product of its (nonzero) digits is 7464960, while the sum is 50.

The spelling of 62344063656401 in words is "sixty-two trillion, three hundred forty-four billion, sixty-three million, six hundred fifty-six thousand, four hundred one".

Divisors: 1 151 311 521 593 4297 46961 78671 89543 162031 184423 308953 648847 1336367 2238737 2548121 24466681 27847873 46651903 96084383 201791417 338049287 384766271 696247207 792465631 1327571041 14508741833 105133328257 119662310281 200463227191 412874593751 62344063656401