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61000000000000 = 21251261
BaseRepresentation
bin11011101111010101010110…
…10101001101000000000000
321222222112122212210221110021
431313222223111031000000
530443411000000000000
6333423002500543224
715564050602614445
oct1567525325150000
9258875585727407
1061000000000000
1118488a55807aa6
126a122606b1b14
132806376b47019
14110c5b6b7d9cc
1570bb3b31911a
hex377aab54d000

61000000000000 has 338 divisors, whose sum is σ = 154981078974602. Its totient is φ = 24000000000000.

The previous prime is 60999999999977. The next prime is 61000000000129. The reversal of 61000000000000 is 16.

It can be written as a sum of positive squares in 13 ways, for example, as 60962865168384 + 37134831616 = 7807872^2 + 192704^2 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 60999999999893 and 60999999999902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 999999999970 + ... + 1000000000030.

Almost surely, 261000000000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77490539487301).

61000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (93981078974602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61000000000000 is an frugal number, since it uses more digits than its factorization.

61000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 61000000000000 its reverse (16), we get a palindrome (61000000000016).

The spelling of 61000000000000 in words is "sixty-one trillion", and thus it is an aban number and an uban number.