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61409759993 is a prime number
BaseRepresentation
bin111001001100010011…
…101001001011111001
312212111202022000220022
4321030103221023321
52001231344304433
644113344140225
74302535230101
oct711423511371
9185452260808
1061409759993
112405323266a
12ba9a007675
135a388451ba
142d87bc6201
1518e63c4698
hexe4c4e92f9

61409759993 has 2 divisors, whose sum is σ = 61409759994. Its totient is φ = 61409759992.

The previous prime is 61409759977. The next prime is 61409760011. The reversal of 61409759993 is 39995790416.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49254256489 + 12155503504 = 221933^2 + 110252^2 .

It is a cyclic number.

It is not a de Polignac number, because 61409759993 - 24 = 61409759977 is a prime.

It is not a weakly prime, because it can be changed into another prime (61409759933) 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 as a sum of consecutive naturals, namely, 30704879996 + 30704879997.

It is an arithmetic number, because the mean of its divisors is an integer number (30704879997).

Almost surely, 261409759993 is an apocalyptic number.

It is an amenable number.

61409759993 is a deficient number, since it is larger than the sum of its proper divisors (1).

61409759993 is an equidigital number, since it uses as much as digits as its factorization.

61409759993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16533720, while the sum is 62.

The spelling of 61409759993 in words is "sixty-one billion, four hundred nine million, seven hundred fifty-nine thousand, nine hundred ninety-three".