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135368401047 = 31119321254263
BaseRepresentation
bin111111000010010010…
…1011110000010010111
3110221102001112021102020
41332010211132002113
54204213302313142
6142104250344223
712531361265235
oct1760445360227
9427361467366
10135368401047
1152455a2a310
122229a72b073
13c9c415ccb9
1467a2467955
1537c42dacec
hex1f8495e097

135368401047 has 16 divisors (see below), whose sum is σ = 197919706368. Its totient is φ = 81616366080.

The previous prime is 135368401039. The next prime is 135368401067. The reversal of 135368401047 is 740104863531.

It is a happy number.

It is not a de Polignac number, because 135368401047 - 23 = 135368401039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135368401067) 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, 10620763 + ... + 10633500.

It is an arithmetic number, because the mean of its divisors is an integer number (12369981648).

Almost surely, 2135368401047 is an apocalyptic number.

135368401047 is a deficient number, since it is larger than the sum of its proper divisors (62551305321).

135368401047 is a wasteful number, since it uses less digits than its factorization.

135368401047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21254470.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 135368401047 in words is "one hundred thirty-five billion, three hundred sixty-eight million, four hundred one thousand, forty-seven".

Divisors: 1 3 11 33 193 579 2123 6369 21254263 63762789 233796893 701390679 4102072759 12306218277 45122800349 135368401047