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680400606241 = 17106137722493
BaseRepresentation
bin10011110011010110000…
…10010101010000100001
32102001020021210000221101
421321223002111100201
542121430023344431
61240323254154401
7100104650504566
oct11715302252041
92361207700841
10680400606241
1124261344a014
12aba48952a01
134c213a86825
1424d0830086d
1512a735be961
hex9e6b095421

680400606241 has 8 divisors (see below), whose sum is σ = 721103195304. Its totient is φ = 639773464320.

The previous prime is 680400606233. The next prime is 680400606283. The reversal of 680400606241 is 142606004086.

It can be written as a sum of positive squares in 4 ways, for example, as 221719498641 + 458681107600 = 470871^2 + 677260^2 .

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 680400606241 - 23 = 680400606233 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 680400606241.

It is not an unprimeable number, because it can be changed into a prime (680400606341) by changing a digit.

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, 18843210 + ... + 18879283.

It is an arithmetic number, because the mean of its divisors is an integer number (90137899413).

Almost surely, 2680400606241 is an apocalyptic number.

It is an amenable number.

680400606241 is a deficient number, since it is larger than the sum of its proper divisors (40702589063).

680400606241 is a wasteful number, since it uses less digits than its factorization.

680400606241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37723571.

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 680400606241 in words is "six hundred eighty billion, four hundred million, six hundred six thousand, two hundred forty-one".

Divisors: 1 17 1061 18037 37722493 641282381 40023565073 680400606241