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136446346050 = 23527177644053
BaseRepresentation
bin111111100010011010…
…1100000001101000010
3111001012011212112222020
41333010311200031002
54213420231033200
6142403234422310
712600160543110
oct1770465401502
9431164775866
10136446346050
1152959450353
122253b731996
13cb3658b091
1468656a4ab0
153838c66ea0
hex1fc4d60342

136446346050 has 96 divisors (see below), whose sum is σ = 409476684672. Its totient is φ = 29353159680.

The previous prime is 136446346031. The next prime is 136446346073. The reversal of 136446346050 is 50643644631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136446345993 and 136446346011.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3804177 + ... + 3839876.

It is an arithmetic number, because the mean of its divisors is an integer number (4265382132).

Almost surely, 2136446346050 is an apocalyptic number.

136446346050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136446346050 is an abundant number, since it is smaller than the sum of its proper divisors (273030338622).

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

136446346050 is a wasteful number, since it uses less digits than its factorization.

136446346050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644092 (or 7644087 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 136446346050 in words is "one hundred thirty-six billion, four hundred forty-six million, three hundred forty-six thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 50 51 70 75 85 102 105 119 150 170 175 210 238 255 350 357 425 510 525 595 714 850 1050 1190 1275 1785 2550 2975 3570 5950 8925 17850 7644053 15288106 22932159 38220265 45864318 53508371 76440530 107016742 114660795 129948901 160525113 191101325 229321590 259897802 267541855 321050226 382202650 389846703 535083710 573303975 649744505 779693406 802625565 909642307 1146607950 1299489010 1337709275 1605251130 1819284614 1949233515 2675418550 2728926921 3248722525 3898467030 4013127825 4548211535 5457853842 6497445050 8026255650 9096423070 9746167575 13644634605 19492335150 22741057675 27289269210 45482115350 68223173025 136446346050