Search a number
-
+
61053545026656 = 253271317731877177
BaseRepresentation
bin11011110000111001000101…
…10111010001010001100000
322000011122212112020010102200
431320130202313101101200
531000300130011323111
6333503340020413200
715600654522052050
oct1570344267212140
9260148775203380
1061053545026656
11184a9732561046
126a20704847200
13280b42b189b50
14111101622d560
1570d222012256
hex378722dd1460

61053545026656 has 576 divisors, whose sum is σ = 229356791733888. Its totient is φ = 14947246669824.

The previous prime is 61053545026627. The next prime is 61053545026657. The reversal of 61053545026656 is 65662054535016.

61053545026656 is a `hidden beast` number, since 6 + 1 + 0 + 535 + 4 + 50 + 2 + 6 + 6 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61053545026657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31585540 + ... + 33462716.

It is an arithmetic number, because the mean of its divisors is an integer number (398188874538).

Almost surely, 261053545026656 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 61053545026656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114678395866944).

61053545026656 is an abundant number, since it is smaller than the sum of its proper divisors (168303246707232).

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

61053545026656 is a wasteful number, since it uses less digits than its factorization.

61053545026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877303 (or 1877292 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 61053545026656 in words is "sixty-one trillion, fifty-three billion, five hundred forty-five million, twenty-six thousand, six hundred fifty-six".