Search a number
-
+
136334477607055 = 57213233337545143
BaseRepresentation
bin11110111111111011011000…
…000110111100000010001111
3122212201110010011011202221121
4132333323120012330002033
5120332201002231411210
61201543105552541411
740500561310031200
oct3677733006740217
9585643104152847
10136334477607055
113a493144416402
121335a650851867
135b0c394671ab0
1425948a40955a7
1510b658c9826da
hex7bfed81bc08f

136334477607055 has 96 divisors (see below), whose sum is σ = 206441942039424. Its totient is φ = 85669736914944.

The previous prime is 136334477607007. The next prime is 136334477607061. The reversal of 136334477607055 is 550706774433631.

It is a happy number.

It is not a de Polignac number, because 136334477607055 - 213 = 136334477598863 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136334477606984 and 136334477607002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249816814 + ... + 250361956.

It is an arithmetic number, because the mean of its divisors is an integer number (2150436896244).

Almost surely, 2136334477607055 is an apocalyptic number.

136334477607055 is a deficient number, since it is larger than the sum of its proper divisors (70107464432369).

136334477607055 is a wasteful number, since it uses less digits than its factorization.

136334477607055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545745 (or 545738 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 61.

The spelling of 136334477607055 in words is "one hundred thirty-six trillion, three hundred thirty-four billion, four hundred seventy-seven million, six hundred seven thousand, fifty-five".

Divisors: 1 5 7 13 35 49 65 91 233 245 337 455 637 1165 1631 1685 2359 3029 3185 4381 8155 11417 11795 15145 16513 21203 21905 30667 57085 78521 82565 106015 148421 153335 214669 392605 545143 549647 742105 1020773 1073345 2725715 2748235 3816001 3847529 5103865 7086859 7145411 19080005 19237645 26712007 35434295 35727055 49608013 50017877 127018319 133560035 183713191 248040065 250089385 347256091 635091595 889128233 918565955 1285992337 1651238147 1736280455 2388271483 4445641165 6223897631 6429961685 8256190735 9001946359 11558667029 11941357415 16717900381 31119488155 42805173503 45009731795 57793335145 80910669203 83589501905 117025302667 214025867515 299636214521 404553346015 556467255539 585126513335 1498181072605 2097453501647 2782336277695 3895270788773 10487267508235 19476353943865 27266895521411 136334477607055