Search a number
-
+
2035042100406 = 2327232444328729
BaseRepresentation
bin11101100111010001111…
…101100010010010110110
321012112210120201222210200
4131213101331202102312
5231320231234203111
64154515130501330
7300012145305060
oct35472175422266
97175716658720
102035042100406
11715069237547
1228a4a3594846
13119b99408923
14706d47d8730
1537e095c7256
hex1d9d1f624b6

2035042100406 has 96 divisors (see below), whose sum is σ = 5258643586560. Its totient is φ = 556118462592.

The previous prime is 2035042100389. The next prime is 2035042100477. The reversal of 2035042100406 is 6040012405302.

2035042100406 is a `hidden beast` number, since 203 + 5 + 0 + 42 + 10 + 0 + 406 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2035042100406.

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, 70821450 + ... + 70850178.

It is an arithmetic number, because the mean of its divisors is an integer number (54777537360).

Almost surely, 22035042100406 is an apocalyptic number.

2035042100406 is an abundant number, since it is smaller than the sum of its proper divisors (3223601486154).

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

2035042100406 is a wasteful number, since it uses less digits than its factorization.

2035042100406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53210 (or 53207 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2035042100406 its reverse (6040012405302), we get a palindrome (8075054505708).

The spelling of 2035042100406 in words is "two trillion, thirty-five billion, forty-two million, one hundred thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 24443 28729 48886 57458 73329 86187 146658 171101 172374 201103 219987 258561 342202 402206 439974 513303 517122 562189 603309 660767 1026606 1124378 1206618 1321534 1539909 1686567 1809927 1982301 3079818 3373134 3619854 3935323 3964602 4625369 5059701 5946903 7870646 9250738 10119402 11805969 11893806 13876107 23611938 27752214 35417907 41628321 70835814 83256642 702222947 1404445894 2106668841 4213337682 4915560629 6320006523 9831121258 12640013046 14746681887 16151127781 29493363774 32302255562 44240045661 48453383343 88480091322 96906766686 113057894467 145360150029 226115788934 290720300058 339173683401 678347366802 1017521050203 2035042100406