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61343788105 = 515778144953
BaseRepresentation
bin111001001000010111…
…111110110001001001
312212100011011022111001
4321020113332301021
52001113002204410
644103030135001
74301104411165
oct711027766111
9185304138431
1061343788105
1124019a72a46
12ba7bab1461
135a27c86c92
142d7d131ca5
1518e06e233a
hexe485fec49

61343788105 has 8 divisors (see below), whose sum is σ = 74081416392. Its totient is φ = 48762450048.

The previous prime is 61343788081. The next prime is 61343788147. The reversal of 61343788105 is 50188734316.

It can be written as a sum of positive squares in 4 ways, for example, as 2368521 + 61341419584 = 1539^2 + 247672^2 .

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-61343788105 is a prime.

It is a super-2 number, since 2×613437881052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39071692 + ... + 39073261.

It is an arithmetic number, because the mean of its divisors is an integer number (9260177049).

Almost surely, 261343788105 is an apocalyptic number.

It is an amenable number.

61343788105 is a deficient number, since it is larger than the sum of its proper divisors (12737628287).

61343788105 is a wasteful number, since it uses less digits than its factorization.

61343788105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78145115.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 61343788105 in words is "sixty-one billion, three hundred forty-three million, seven hundred eighty-eight thousand, one hundred five".

Divisors: 1 5 157 785 78144953 390724765 12268757621 61343788105