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56314241365 = 589126548857
BaseRepresentation
bin110100011100100101…
…110010000101010101
312101100122011212102011
4310130211302011111
51410312421210430
641512001344221
74032343103464
oct643445620525
9171318155364
1056314241365
1121978a15048
12aab7638071
135405c81815
142a2317c9db
1516e8da122a
hexd1c972155

56314241365 has 8 divisors (see below), whose sum is σ = 68336383320. Its totient is φ = 44545197312.

The previous prime is 56314241323. The next prime is 56314241407.

56314241365 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56314241323) and next prime (56314241407).

It can be written as a sum of positive squares in 4 ways, for example, as 1472563876 + 54841677489 = 38374^2 + 234183^2 .

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 56314241365 - 225 = 56280686933 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63273984 + ... + 63274873.

It is an arithmetic number, because the mean of its divisors is an integer number (8542047915).

Almost surely, 256314241365 is an apocalyptic number.

It is an amenable number.

56314241365 is a deficient number, since it is larger than the sum of its proper divisors (12022141955).

56314241365 is a wasteful number, since it uses less digits than its factorization.

56314241365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126548951.

The product of its digits is 259200, while the sum is 40.

The spelling of 56314241365 in words is "fifty-six billion, three hundred fourteen million, two hundred forty-one thousand, three hundred sixty-five".

Divisors: 1 5 89 445 126548857 632744285 11262848273 56314241365