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505106014343641 = 10213307149596903
BaseRepresentation
bin111001011011001000010100…
…0100011110001000111011001
32110020102122220121101102112121
41302312100220203301013121
51012201124104132444031
64550134255525341241
7211251463622654104
oct16266205043610731
92406378817342477
10505106014343641
11136a40292012867
1248798b1a267821
13188ac3a62b60b9
148ca339392773b
153d5de77377011
hex1cb64288f11d9

505106014343641 has 8 divisors (see below), whose sum is σ = 505753622717504. Its totient is φ = 504458705172240.

The previous prime is 505106014343639. The next prime is 505106014343647. The reversal of 505106014343641 is 146343410601505.

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

It is a cyclic number.

It is not a de Polignac number, because 505106014343641 - 21 = 505106014343639 is a prime.

It is a super-2 number, since 2×5051060143436412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505106014343647) 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, 71422005 + ... + 78174898.

It is an arithmetic number, because the mean of its divisors is an integer number (63219202839688).

Almost surely, 2505106014343641 is an apocalyptic number.

It is an amenable number.

505106014343641 is a deficient number, since it is larger than the sum of its proper divisors (647608373863).

505106014343641 is a wasteful number, since it uses less digits than its factorization.

505106014343641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149601231.

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 505106014343641 in words is "five hundred five trillion, one hundred six billion, fourteen million, three hundred forty-three thousand, six hundred forty-one".

Divisors: 1 1021 3307 3376447 149596903 152738437963 494716958221 505106014343641