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67953541049 is a prime number
BaseRepresentation
bin111111010010010110…
…001011111110111001
320111101210120112221122
4333102112023332321
52103132101303144
651114544115025
74623644366012
oct772226137671
9214353515848
1067953541049
1126901003189
1211205605a75
13653c4848b4
143408d06009
151b7ab227ee
hexfd258bfb9

67953541049 has 2 divisors, whose sum is σ = 67953541050. Its totient is φ = 67953541048.

The previous prime is 67953541031. The next prime is 67953541093. The reversal of 67953541049 is 94014535976.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48062669824 + 19890871225 = 219232^2 + 141035^2 .

It is a cyclic number.

It is not a de Polignac number, because 67953541049 - 220 = 67952492473 is a prime.

It is not a weakly prime, because it can be changed into another prime (67953541099) 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 as a sum of consecutive naturals, namely, 33976770524 + 33976770525.

It is an arithmetic number, because the mean of its divisors is an integer number (33976770525).

Almost surely, 267953541049 is an apocalyptic number.

It is an amenable number.

67953541049 is a deficient number, since it is larger than the sum of its proper divisors (1).

67953541049 is an equidigital number, since it uses as much as digits as its factorization.

67953541049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4082400, while the sum is 53.

The spelling of 67953541049 in words is "sixty-seven billion, nine hundred fifty-three million, five hundred forty-one thousand, forty-nine".