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429022355085 = 3551492369831
BaseRepresentation
bin1100011111000111011…
…10011001111010001101
31112000101022020202200000
412033203232121322031
524012114210330320
6525031245554513
742665400564102
oct6174356317215
91460338222600
10429022355085
11155a46a31325
126b192875a39
13315c22c260c
1416a9c83caa9
15b25e7a9c90
hex63e3b99e8d

429022355085 has 48 divisors (see below), whose sum is σ = 776356963200. Its totient is φ = 227276176320.

The previous prime is 429022355063. The next prime is 429022355123. The reversal of 429022355085 is 580553220924.

429022355085 is a `hidden beast` number, since 4 + 2 + 90 + 2 + 2 + 3 + 550 + 8 + 5 = 666.

It is not a de Polignac number, because 429022355085 - 28 = 429022354829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 429022355085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003881 + ... + 1365950.

It is an arithmetic number, because the mean of its divisors is an integer number (16174103400).

Almost surely, 2429022355085 is an apocalyptic number.

429022355085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429022355085 is a deficient number, since it is larger than the sum of its proper divisors (347334608115).

429022355085 is a wasteful number, since it uses less digits than its factorization.

429022355085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370000 (or 2369988 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 429022355085 in words is "four hundred twenty-nine billion, twenty-two million, three hundred fifty-five thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 149 243 405 447 745 1215 1341 2235 4023 6705 12069 20115 36207 60345 181035 2369831 7109493 11849155 21328479 35547465 63985437 106642395 191956311 319927185 353104819 575868933 959781555 1059314457 1765524095 2879344665 3177943371 5296572285 9533830113 15889716855 28601490339 47669150565 85804471017 143007451695 429022355085