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67288505921 = 7136112121871
BaseRepresentation
bin111110101010101101…
…010001111001000001
320102200110012021020222
4332222231101321001
52100301324142141
650524550112425
74601320602050
oct765255217101
9212613167228
1067288505921
112659a67547a
121105a94b715
1364647682a0
143384870397
151b3c55a14b
hexfaab51e41

67288505921 has 16 divisors (see below), whose sum is σ = 84174279168. Its totient is φ = 52366478400.

The previous prime is 67288505897. The next prime is 67288505923. The reversal of 67288505921 is 12950588276.

It is a cyclic number.

It is not a de Polignac number, because 67288505921 - 214 = 67288489537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67288505923) 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 15 ways as a sum of consecutive naturals, for example, 6055385 + ... + 6066486.

It is an arithmetic number, because the mean of its divisors is an integer number (5260892448).

Almost surely, 267288505921 is an apocalyptic number.

67288505921 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

67288505921 is a deficient number, since it is larger than the sum of its proper divisors (16885773247).

67288505921 is a wasteful number, since it uses less digits than its factorization.

67288505921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12121952.

The product of its (nonzero) digits is 2419200, while the sum is 53.

The spelling of 67288505921 in words is "sixty-seven billion, two hundred eighty-eight million, five hundred five thousand, nine hundred twenty-one".

Divisors: 1 7 13 61 91 427 793 5551 12121871 84853097 157584323 739434131 1103090261 5176038917 9612643703 67288505921