Search a number
-
+
61204777740216 = 23331137947735169
BaseRepresentation
bin11011110101010010110010…
…00010010010011110111000
322000201010020012020222102000
431322221121002102132320
531010234341100141331
6334101030422341000
715614620306651305
oct1572513102223670
9260633205228360
1061204777740216
111855788947a130
126a45a9028a760
13281c77cc458c6
1411184815c80ac
15712123e400e6
hex37aa590927b8

61204777740216 has 256 divisors, whose sum is σ = 190683101376000. Its totient is φ = 18026554613760.

The previous prime is 61204777740203. The next prime is 61204777740241.

It is a happy number.

61204777740216 is a `hidden beast` number, since 6 + 120 + 47 + 7 + 77 + 402 + 1 + 6 = 666.

61204777740216 is nontrivially palindromic in base 10.

61204777740216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82885080 + ... + 83620248.

It is an arithmetic number, because the mean of its divisors is an integer number (744855864750).

Almost surely, 261204777740216 is an apocalyptic number.

61204777740216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61204777740216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95341550688000).

61204777740216 is an abundant number, since it is smaller than the sum of its proper divisors (129478323635784).

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

61204777740216 is a wasteful number, since it uses less digits than its factorization.

61204777740216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736179 (or 736169 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 61204777740216 in words is "sixty-one trillion, two hundred four billion, seven hundred seventy-seven million, seven hundred forty thousand, two hundred sixteen".