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2005351020216 = 233323403653587
BaseRepresentation
bin11101001011101000001…
…111000011011010111000
321002201011100201211202000
4131023220033003122320
5230323424330121331
64133125011541000
7264611316266055
oct35135017033270
97081140654660
102005351020216
1170351240a545
12284797bba760
1311714704561b
146d0b940602c
153726cb700e6
hex1d2e83c36b8

2005351020216 has 64 divisors (see below), whose sum is σ = 5812611667200. Its totient is φ = 639387280224.

The previous prime is 2005351020209. The next prime is 2005351020221. The reversal of 2005351020216 is 6120201535002.

It is a happy number.

2005351020216 is a `hidden beast` number, since 2 + 0 + 0 + 535 + 102 + 0 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2005351020216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201821826 + ... + 201831761.

It is an arithmetic number, because the mean of its divisors is an integer number (90822057300).

Almost surely, 22005351020216 is an apocalyptic number.

It is an amenable number.

2005351020216 is an abundant number, since it is smaller than the sum of its proper divisors (3807260646984).

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

2005351020216 is a wasteful number, since it uses less digits than its factorization.

2005351020216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403653625 (or 403653615 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 2005351020216 its reverse (6120201535002), we get a palindrome (8125552555218).

The spelling of 2005351020216 in words is "two trillion, five billion, three hundred fifty-one million, twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 403653587 807307174 1210960761 1614614348 2421921522 3229228696 3632882283 4843843044 7265764566 9284032501 9687686088 10898646849 14531529132 18568065002 21797293698 27852097503 29063058264 37136130004 43594587396 55704195006 74272260008 83556292509 87189174792 111408390012 167112585018 222816780024 250668877527 334225170036 501337755054 668450340072 1002675510108 2005351020216