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61004554081 = 36726732
BaseRepresentation
bin111000110100001001…
…111001111101100001
312211110111211102212221
4320310021321331201
51444414131212311
644005231151041
74256515103542
oct706411717541
9184414742787
1061004554081
1123965531449
12b9a6375481
1359a29001a3
142d4a0684c9
1518c0a33671
hexe34279f61

61004554081 has 9 divisors (see below), whose sum is σ = 61262260371. Its totient is φ = 60747930432.

The previous prime is 61004554067. The next prime is 61004554097. The reversal of 61004554081 is 18045540016.

The square root of 61004554081 is 246991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19964277025 + 41040277056 = 141295^2 + 202584^2 .

It is not a de Polignac number, because 61004554081 - 211 = 61004552033 is a prime.

It is a super-2 number, since 2×610045540812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61004554021) 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 8 ways as a sum of consecutive naturals, for example, 90645361 + ... + 90646033.

It is an arithmetic number, because the mean of its divisors is an integer number (6806917819).

Almost surely, 261004554081 is an apocalyptic number.

61004554081 is the 246991-st square number.

61004554081 is the 123496-th centered octagonal number.

It is an amenable number.

61004554081 is a deficient number, since it is larger than the sum of its proper divisors (257706290).

61004554081 is an frugal number, since it uses more digits than its factorization.

61004554081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 61004554081 in words is "sixty-one billion, four million, five hundred fifty-four thousand, eighty-one".

Divisors: 1 367 673 134689 246991 452929 90645697 166224943 61004554081