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2406428661 = 3741331829
BaseRepresentation
bin1000111101101111…
…0010111111110101
320012201010020112110
42033123302333311
514412021204121
61034442041233
7113430210000
oct21733627765
96181106473
102406428661
11102540351a
12571aa9219
132c4729ab0
1418b854537
15e13e5d76
hex8f6f2ff5

2406428661 has 80 divisors (see below), whose sum is σ = 4166095360. Its totient is φ = 1226897280.

The previous prime is 2406428657. The next prime is 2406428663. The reversal of 2406428661 is 1668246042.

It is not a de Polignac number, because 2406428661 - 22 = 2406428657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406428663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2902395 + ... + 2903223.

It is an arithmetic number, because the mean of its divisors is an integer number (52076192).

Almost surely, 22406428661 is an apocalyptic number.

2406428661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2406428661 is a deficient number, since it is larger than the sum of its proper divisors (1759666699).

2406428661 is an equidigital number, since it uses as much as digits as its factorization.

2406428661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2406428661 is about 49055.3632236069. The cubic root of 2406428661 is about 1340.0602670228.

It can be divided in two parts, 24064 and 28661, that added together give a palindrome (52725).

The spelling of 2406428661 in words is "two billion, four hundred six million, four hundred twenty-eight thousand, six hundred sixty-one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 343 403 637 651 829 1029 1209 1519 1911 2401 2487 2821 4459 4557 5803 7203 8463 10633 10777 13377 17409 19747 25699 31213 31899 32331 40621 59241 74431 75439 77097 93639 121863 138229 179893 223293 226317 284347 334087 414687 528073 539679 853041 967603 1002261 1259251 1584219 1990429 2338609 2902809 3696511 3777753 5971287 7015827 8814757 11089533 16370263 25875577 26444271 49110789 61703299 77626731 114591841 185109897 343775523 802142887 2406428661