Search a number
-
+
1656256045301 = 111323331267469
BaseRepresentation
bin11000000110100000100…
…011011010000011110101
312212100002022221200101122
4120012200203122003311
5204114003021422201
63304512403033325
7230442366045644
oct30064043320365
95770068850348
101656256045301
115894613a4a10
12228bb096b845
13c0251b0ca00
145a23dc3b35b
152d13a2dbe1b
hex181a08da0f5

1656256045301 has 24 divisors (see below), whose sum is σ = 1957097247840. Its totient is φ = 1389442766400.

The previous prime is 1656256045291. The next prime is 1656256045319. The reversal of 1656256045301 is 1035406526561.

It is a de Polignac number, because none of the positive numbers 2k-1656256045301 is a prime.

It is a super-2 number, since 2×16562560453012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656256045331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6058595 + ... + 6326063.

It is an arithmetic number, because the mean of its divisors is an integer number (81545718660).

Almost surely, 21656256045301 is an apocalyptic number.

1656256045301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1656256045301 is a deficient number, since it is larger than the sum of its proper divisors (300841202539).

1656256045301 is a wasteful number, since it uses less digits than its factorization.

1656256045301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270837 (or 270824 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 1656256045301 in words is "one trillion, six hundred fifty-six billion, two hundred fifty-six million, forty-five thousand, three hundred one".

Divisors: 1 11 13 143 169 1859 3331 36641 43303 267469 476333 562939 2942159 3477097 6192329 38248067 45202261 497224871 890939239 9800331629 11582210107 127404311177 150568731391 1656256045301