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65838103892821 = 1310946463023213
BaseRepresentation
bin11101111100001001000001…
…10010111001001101010101
322122010001122122211200210201
432332010200302321031111
532112142414044032241
6352005335110020501
716603434406306261
oct1676044062711525
9278101578750721
1065838103892821
1119a83868284a77
127473a47947731
132a97677ba1960
14123881cc7d0a1
157929008ad931
hex3be120cb9355

65838103892821 has 8 divisors (see below), whose sum is σ = 71553055749560. Its totient is φ = 60216078082752.

The previous prime is 65838103892809. The next prime is 65838103892887. The reversal of 65838103892821 is 12829830183856.

65838103892821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 3312555-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 18856524608100 + 46981579284721 = 4342410^2 + 6854311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 65838103892821 - 223 = 65838095504213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65838103892921) 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 7 ways as a sum of consecutive naturals, for example, 23231510190 + ... + 23231513023.

It is an arithmetic number, because the mean of its divisors is an integer number (8944131968695).

Almost surely, 265838103892821 is an apocalyptic number.

65838103892821 is the 4684660-th hex number.

It is an amenable number.

65838103892821 is a deficient number, since it is larger than the sum of its proper divisors (5714951856739).

65838103892821 is a wasteful number, since it uses less digits than its factorization.

65838103892821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46463023335.

The product of its (nonzero) digits is 39813120, while the sum is 64.

The spelling of 65838103892821 in words is "sixty-five trillion, eight hundred thirty-eight billion, one hundred three million, eight hundred ninety-two thousand, eight hundred twenty-one".

Divisors: 1 13 109 1417 46463023213 604019301769 5064469530217 65838103892821