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56665000556106 = 2361719839256651
BaseRepresentation
bin11001110001001010110010…
…01110101011011001001010
321102122010021022120020200020
430320211121032223121022
524411344410120243411
6320303313014121310
714635624352406645
oct1470453116533112
9242563238506606
1056665000556106
1117067545618998
126432082050236
132580643162197
14ddc85a2d8a5c
15683ec01ce606
hex3389593ab64a

56665000556106 has 64 divisors (see below), whose sum is σ = 115486008422400. Its totient is φ = 18530663832000.

The previous prime is 56665000556083. The next prime is 56665000556111. The reversal of 56665000556106 is 60165500056665.

56665000556106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 220657881 + ... + 220914531.

It is an arithmetic number, because the mean of its divisors is an integer number (1804468881600).

Almost surely, 256665000556106 is an apocalyptic number.

56665000556106 is an abundant number, since it is smaller than the sum of its proper divisors (58821007866294).

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

56665000556106 is a wasteful number, since it uses less digits than its factorization.

56665000556106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258275.

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 56665000556106 in words is "fifty-six trillion, six hundred sixty-five billion, five hundred fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 61 122 183 366 719 839 1438 1678 2157 2517 4314 5034 43859 51179 87718 102358 131577 153537 256651 263154 307074 513302 603241 769953 1206482 1539906 1809723 3619446 15655711 31311422 36797701 46967133 73595402 93934266 110393103 184532069 215330189 220786206 369064138 430660378 553596207 645990567 1107192414 1291981134 11256456209 13135141529 22512912418 26270283058 33769368627 39405424587 67538737254 78810849174 154822405891 309644811782 464467217673 928934435346 9444166759351 18888333518702 28332500278053 56665000556106