Search a number
-
+
368431136955 = 3457223807193
BaseRepresentation
bin1010101110010000011…
…01010000000010111011
31022012222121011222010000
411113020031100002323
522014021332340310
6441131021524043
735422031664300
oct5271015200273
91265877158100
10368431136955
11132283854342
125b4a2a13623
1328987222b1b
1413b9164b0a7
1598b51c14c0
hex55c83500bb

368431136955 has 120 divisors (see below), whose sum is σ = 801679250592. Its totient is φ = 161102608128.

The previous prime is 368431136951. The next prime is 368431136971. The reversal of 368431136955 is 559631134863.

It is not a de Polignac number, because 368431136955 - 22 = 368431136951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (368431136951) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 52839 + ... + 860031.

Almost surely, 2368431136955 is an apocalyptic number.

368431136955 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

368431136955 is an abundant number, since it is smaller than the sum of its proper divisors (433248113637).

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

368431136955 is a wasteful number, since it uses less digits than its factorization.

368431136955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807247 (or 807231 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 368431136955 in words is "three hundred sixty-eight billion, four hundred thirty-one million, one hundred thirty-six thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 49 63 69 81 105 115 135 147 161 189 207 245 315 345 405 441 483 567 621 735 805 945 1035 1127 1323 1449 1863 2205 2415 2835 3105 3381 3969 4347 5635 6615 7245 9315 10143 13041 16905 19845 21735 30429 50715 65205 91287 152145 456435 807193 2421579 4035965 5650351 7264737 12107895 16951053 18565439 21794211 28251755 36323685 39552457 50853159 55696317 65382633 84755265 92827195 108971055 118657371 129958073 152559477 167088951 197762285 254265795 278481585 326913165 355972113 389874219 457678431 501266853 593286855 649790365 762797385 835444755 909706511 1067916339 1169622657 1503800559 1779860565 1949371095 2288392155 2506334265 2729119533 3203749017 3508867971 4548532555 5339581695 5848113285 7519002795 8187358599 10526603913 13645597665 16018745085 17544339855 24562075797 40936792995 52633019565 73686227391 122810378985 368431136955