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136403845657677 = 32134789243442229
BaseRepresentation
bin11111000000111011111110…
…110001000011010001001101
3122212222002011112101212020200
4133000323332301003101031
5120334320033442021202
61202035021151004113
740505565311523633
oct3700737661032115
9585862145355220
10136403845657677
113a50a600918564
121336bb8bb09639
135b15a9abb54b0
142597da4ba9353
1510b829c863e1c
hex7c0efec4344d

136403845657677 has 24 divisors (see below), whose sum is σ = 212228067269400. Its totient is φ = 83923299911808.

The previous prime is 136403845657669. The next prime is 136403845657687. The reversal of 136403845657677 is 776756548304631.

136403845657677 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 0 + 3 + 8 + 45 + 6 + 576 + 7 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12753426585636 + 123650419072041 = 3571194^2 + 11119821^2 .

It is not a de Polignac number, because 136403845657677 - 23 = 136403845657669 is a prime.

It is a super-2 number, since 2×1364038456576772 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136403845657637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121160802 + ... + 122281427.

It is an arithmetic number, because the mean of its divisors is an integer number (8842836136225).

Almost surely, 2136403845657677 is an apocalyptic number.

It is an amenable number.

136403845657677 is a deficient number, since it is larger than the sum of its proper divisors (75824221611723).

136403845657677 is a wasteful number, since it uses less digits than its factorization.

136403845657677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243447037 (or 243447034 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 136403845657677 in words is "one hundred thirty-six trillion, four hundred three billion, eight hundred forty-five million, six hundred fifty-seven thousand, six hundred seventy-seven".

Divisors: 1 3 9 13 39 117 4789 14367 43101 62257 186771 560313 243442229 730326687 2190980061 3164748977 9494246931 28482740793 1165844834681 3497534504043 10492603512129 15155982850853 45467948552559 136403845657677