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135407166566 = 27107741112197
BaseRepresentation
bin111111000011011100…
…1010110010001100110
3110221111202110202201012
41332012321112101212
54204303213312231
6142112153302222
712532341632240
oct1760671262146
9427452422635
10135407166566
11524758a7431
12222ab704972
13c9cc1b3989
1467a7679090
1537c78e6e2b
hex1f86e56466

135407166566 has 32 divisors (see below), whose sum is σ = 234346804992. Its totient is φ = 57476820960.

The previous prime is 135407166527. The next prime is 135407166569. The reversal of 135407166566 is 665661704531.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135407166569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11095580 + ... + 11107776.

It is an arithmetic number, because the mean of its divisors is an integer number (7323337656).

Almost surely, 2135407166566 is an apocalyptic number.

135407166566 is a deficient number, since it is larger than the sum of its proper divisors (98939638426).

135407166566 is a wasteful number, since it uses less digits than its factorization.

135407166566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19724.

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 135407166566 in words is "one hundred thirty-five billion, four hundred seven million, one hundred sixty-six thousand, five hundred sixty-six".

Divisors: 1 2 7 14 107 214 749 1498 7411 12197 14822 24394 51877 85379 103754 170758 792977 1305079 1585954 2610158 5550839 9135553 11101678 18271106 90391967 180783934 632743769 1265487538 9671940469 19343880938 67703583283 135407166566