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1268136001 = 11678320731
BaseRepresentation
bin100101110010110…
…0011100001000001
310021101012222120001
41023211203201001
510044120323001
6325500320001
743265656336
oct11345434101
93241188501
101268136001
115a0914390
122b4843001
1317295c742
14c05c898d
15764e9001
hex4b963841

1268136001 has 16 divisors (see below), whose sum is σ = 1421054208. Its totient is φ = 1121907600.

The previous prime is 1268135987. The next prime is 1268136007. The reversal of 1268136001 is 1006318621.

It is not a de Polignac number, because 1268136001 - 27 = 1268135873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1268136007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50806 + ... + 71536.

It is an arithmetic number, because the mean of its divisors is an integer number (88815888).

Almost surely, 21268136001 is an apocalyptic number.

1268136001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1268136001 is a deficient number, since it is larger than the sum of its proper divisors (152918207).

1268136001 is a wasteful number, since it uses less digits than its factorization.

1268136001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1268136001 is about 35610.8972226199. The cubic root of 1268136001 is about 1082.4020612341.

The spelling of 1268136001 in words is "one billion, two hundred sixty-eight million, one hundred thirty-six thousand, one".

Divisors: 1 11 67 83 737 913 5561 20731 61171 228041 1388977 1720673 15278747 18927403 115285091 1268136001