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429034048065 = 325717791014157
BaseRepresentation
bin1100011111001000110…
…11000000101001000001
31112000102010020211102100
412033210123000221001
524012130204014230
6525032344341013
742665602144320
oct6174433005101
91460363224370
10429034048065
11155a52598447
126b196774769
13315c485793c
1416aa02040b7
15b260819660
hex63e46c0a41

429034048065 has 96 divisors (see below), whose sum is σ = 911281812480. Its totient is φ = 182256003072.

The previous prime is 429034048063. The next prime is 429034048103. The reversal of 429034048065 is 560840430924.

429034048065 is a `hidden beast` number, since 42 + 90 + 3 + 40 + 480 + 6 + 5 = 666.

It is not a de Polignac number, because 429034048065 - 21 = 429034048063 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 429034048065.

It is not an unprimeable number, because it can be changed into a prime (429034048063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84034 + ... + 930123.

It is an arithmetic number, because the mean of its divisors is an integer number (9492518880).

Almost surely, 2429034048065 is an apocalyptic number.

429034048065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429034048065 is an abundant number, since it is smaller than the sum of its proper divisors (482247764415).

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

429034048065 is a wasteful number, since it uses less digits than its factorization.

429034048065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014271 (or 1014268 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 429034048065 its reverse (560840430924), we get a palindrome (989874478989).

The spelling of 429034048065 in words is "four hundred twenty-nine billion, thirty-four million, forty-eight thousand, sixty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 79 85 105 119 153 237 255 315 357 395 553 595 711 765 1071 1185 1343 1659 1785 2765 3555 4029 4977 5355 6715 8295 9401 12087 20145 24885 28203 47005 60435 84609 141015 423045 1014157 3042471 5070785 7099099 9127413 15212355 17240669 21297297 35495495 45637065 51722007 63891891 80118403 86203345 106486485 120684683 155166021 240355209 258610035 319459455 362054049 400592015 560828821 603423415 721065627 775830105 1086162147 1201776045 1362012851 1682486463 1810270245 2804144105 3605328135 4086038553 5047459389 5430810735 6810064255 8412432315 9534089957 12258115659 20430192765 25237296945 28602269871 47670449785 61290578295 85806809613 143011349355 429034048065