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61116783345 = 3251358150741
BaseRepresentation
bin111000111010110110…
…000001101011110001
312211202100000021111100
4320322312001223301
52000131344031340
644024320435013
74262350041552
oct707266015361
9184670007440
1061116783345
1123a12915a02
12ba17a78a69
1359bcc36137
142d5ad20329
1518ca801830
hexe3ad81af1

61116783345 has 12 divisors (see below), whose sum is σ = 105935757876. Its totient is φ = 32595617760.

The previous prime is 61116783319. The next prime is 61116783347. The reversal of 61116783345 is 54338761116.

It can be written as a sum of positive squares in 2 ways, for example, as 18442726416 + 42674056929 = 135804^2 + 206577^2 .

It is not a de Polignac number, because 61116783345 - 25 = 61116783313 is a prime.

It is a super-2 number, since 2×611167833452 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1358150741 = 61116783345 / (6 + 1 + 1 + 1 + 6 + 7 + 8 + 3 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 61116783345.

It is not an unprimeable number, because it can be changed into a prime (61116783347) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 679075326 + ... + 679075415.

It is an arithmetic number, because the mean of its divisors is an integer number (8827979823).

Almost surely, 261116783345 is an apocalyptic number.

It is an amenable number.

61116783345 is a deficient number, since it is larger than the sum of its proper divisors (44818974531).

61116783345 is a wasteful number, since it uses less digits than its factorization.

61116783345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358150752 (or 1358150749 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 61116783345 in words is "sixty-one billion, one hundred sixteen million, seven hundred eighty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 1358150741 4074452223 6790753705 12223356669 20372261115 61116783345