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134676492801 = 32383173181751
BaseRepresentation
bin111110101101101011…
…0000011001000000001
3110212121211120200201220
41331123112003020001
54201304140232201
6141511452345253
712505260205104
oct1753326031001
9425554520656
10134676492801
1152130407414
1222126a75229
13c9139c4a36
1467385d873b
1537836b6036
hex1f5b583201

134676492801 has 64 divisors (see below), whose sum is σ = 192038805504. Its totient is φ = 83777760000.

The previous prime is 134676492793. The next prime is 134676492827. The reversal of 134676492801 is 108294676431.

It is a happy number.

It is not a de Polignac number, because 134676492801 - 23 = 134676492793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134676492851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179329176 + ... + 179329926.

It is an arithmetic number, because the mean of its divisors is an integer number (3000606336).

Almost surely, 2134676492801 is an apocalyptic number.

It is an amenable number.

134676492801 is a deficient number, since it is larger than the sum of its proper divisors (57362312703).

134676492801 is a wasteful number, since it uses less digits than its factorization.

134676492801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214.

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 134676492801 in words is "one hundred thirty-four billion, six hundred seventy-six million, four hundred ninety-two thousand, eight hundred one".

Divisors: 1 3 23 69 83 173 181 249 519 543 751 1909 2253 3979 4163 5727 11937 12489 14359 15023 17273 31313 43077 45069 51819 62333 93939 129923 135931 186999 330257 345529 389769 407793 720199 990771 1036587 1433659 2160597 2598979 2988229 3126413 4300977 7796937 8964687 9379239 10783609 11282273 23516063 32350827 33846819 59776517 70548189 179329551 248023007 259492279 540869449 744069021 778476837 1622608347 1951833229 5855499687 44892164267 134676492801