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102463846241 = 1741147006953
BaseRepresentation
bin101111101101101010…
…0100011011101100001
3100210110212210200220012
41133123110203131201
53134321221034431
6115023215454305
710255102215461
oct1373324433541
9323425720805
10102463846241
113a500196269
1217a36b27395
13987c0c0c23
144d6037dba1
1529ea6c322b
hex17db523761

102463846241 has 8 divisors (see below), whose sum is σ = 111137257224. Its totient is φ = 94084449280.

The previous prime is 102463846231. The next prime is 102463846271. The reversal of 102463846241 is 142648364201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10403184016 + 92060662225 = 101996^2 + 303415^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102463846241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102463846231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73502780 + ... + 73504173.

It is an arithmetic number, because the mean of its divisors is an integer number (13892157153).

Almost surely, 2102463846241 is an apocalyptic number.

It is an amenable number.

102463846241 is a deficient number, since it is larger than the sum of its proper divisors (8673410983).

102463846241 is a wasteful number, since it uses less digits than its factorization.

102463846241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147007011.

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 102463846241 in words is "one hundred two billion, four hundred sixty-three million, eight hundred forty-six thousand, two hundred forty-one".

Divisors: 1 17 41 697 147006953 2499118201 6027285073 102463846241