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61309554019441 = 71310714942258757
BaseRepresentation
bin11011111000010101111100…
…01100000100110001110001
322001002010200020022110000021
431330022332030010301301
531013443431312110231
6334221115325523441
715625316621433160
oct1574127614046161
9261063606273007
1061309554019441
11185982659a8532
126a62251713581
13282960a142a70
14111d580b113d7
15714c0763d811
hex37c2be304c71

61309554019441 has 32 divisors (see below), whose sum is σ = 76674290515200. Its totient is φ = 47732786217216.

The previous prime is 61309554019429. The next prime is 61309554019499. The reversal of 61309554019441 is 14491045590316.

61309554019441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 61309554019441 - 215 = 61309553986673 is a prime.

It is a super-2 number, since 2×613095540194412 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61309554011441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19678566 + ... + 22580191.

It is an arithmetic number, because the mean of its divisors is an integer number (2396071578600).

Almost surely, 261309554019441 is an apocalyptic number.

It is an amenable number.

61309554019441 is a deficient number, since it is larger than the sum of its proper divisors (15364736495759).

61309554019441 is a wasteful number, since it uses less digits than its factorization.

61309554019441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42259033.

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 61309554019441 in words is "sixty-one trillion, three hundred nine billion, five hundred fifty-four million, nineteen thousand, four hundred forty-one".

Divisors: 1 7 13 91 107 149 749 1043 1391 1937 9737 13559 15943 111601 207259 1450813 42258757 295811299 549363841 3845546887 4521686999 6296554793 31651808993 44075883551 58781930987 81855212309 411473516909 572986486163 673731362851 4716119539957 8758507717063 61309554019441