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136405741320 = 23325378904837
BaseRepresentation
bin111111100001001101…
…0100110111100001000
3111001002100110121202100
41333002122212330020
54213324332210240
6142355224233400
712566155446012
oct1770232467410
9431070417670
10136405741320
1152938537422
122252a00b860
13cb2b042204
1468601351b2
1538353e5e30
hex1fc26a6f08

136405741320 has 48 divisors (see below), whose sum is σ = 443318660460. Its totient is φ = 36374864256.

The previous prime is 136405741267. The next prime is 136405741321. The reversal of 136405741320 is 23147504631.

136405741320 is a `hidden beast` number, since 1 + 3 + 64 + 0 + 574 + 1 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112440843684 + 23964897636 = 335322^2 + 154806^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136405741321) 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 11 ways as a sum of consecutive naturals, for example, 189452059 + ... + 189452778.

Almost surely, 2136405741320 is an apocalyptic number.

136405741320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136405741320 is an abundant number, since it is smaller than the sum of its proper divisors (306912919140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136405741320 is a wasteful number, since it uses less digits than its factorization.

136405741320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378904854 (or 378904847 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 136405741320 in words is "one hundred thirty-six billion, four hundred five million, seven hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 378904837 757809674 1136714511 1515619348 1894524185 2273429022 3031238696 3410143533 3789048370 4546858044 5683572555 6820287066 7578096740 9093716088 11367145110 13640574132 15156193480 17050717665 22734290220 27281148264 34101435330 45468580440 68202870660 136405741320