Search a number
-
+
56400136402211 = 71731711131905613
BaseRepresentation
bin11001101001011101011100…
…00110000111010100100011
321101200210121110221010200122
430310232232012013110203
524343024434404332321
6315541510500110455
714610526646300360
oct1464565606072443
9241623543833618
1056400136402211
1116a75188717938
1263aa88369542b
13256168273b974
14dcdad1745467
1567c16c4868ab
hex334bae187523

56400136402211 has 64 divisors (see below), whose sum is σ = 72075016912896. Its totient is φ = 43027194470400.

The previous prime is 56400136402193. The next prime is 56400136402217. The reversal of 56400136402211 is 11220463100465.

56400136402211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56400136402211 - 234 = 56382956533027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56400136402217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 28644041 + ... + 30549653.

It is an arithmetic number, because the mean of its divisors is an integer number (1126172139264).

Almost surely, 256400136402211 is an apocalyptic number.

56400136402211 is a deficient number, since it is larger than the sum of its proper divisors (15674880510685).

56400136402211 is a wasteful number, since it uses less digits than its factorization.

56400136402211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905852.

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 56400136402211 its reverse (11220463100465), we get a palindrome (67620599502676).

The spelling of 56400136402211 in words is "fifty-six trillion, four hundred billion, one hundred thirty-six million, four hundred two thousand, two hundred eleven".

Divisors: 1 7 17 31 71 113 119 217 497 527 791 1207 1921 2201 3503 3689 8023 8449 13447 15407 24521 37417 56161 59551 136391 248713 261919 416857 954737 1740991 1905613 4228121 13339291 29596847 32395421 59074003 135298523 215334269 226767947 413518021 947089661 1004258051 1507339883 2300074891 3660682573 4194254213 6675362339 7029806357 15288733099 16100524237 25624778011 29359779491 46727536373 71302321621 107021131693 113481159763 259908462683 473950726069 499116251347 794368118341 1819359238781 3317655082483 8057162343173 56400136402211