Search a number
-
+
64553643025123 = 7219792274318971
BaseRepresentation
bin11101010110110000100001…
…11101100010001011100011
322110120021020101002221202011
432223120100331202023203
531430121330103300443
6345143311215533351
716411563311133400
oct1653302075421343
9273507211087664
1064553643025123
111962905663998a
1272a6b1852a257
132a034c822a275
1411d25ad3792a7
1576e2c5c95b9d
hex3ab610f622e3

64553643025123 has 96 divisors (see below), whose sum is σ = 80593997414400. Its totient is φ = 51402676852800.

The previous prime is 64553643025097. The next prime is 64553643025211. The reversal of 64553643025123 is 32152034635546.

64553643025123 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 64553643025123 - 217 = 64553642894051 is a prime.

It is a super-2 number, since 2×645536430251232 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (64553646025123) 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 95 ways as a sum of consecutive naturals, for example, 7195809028 + ... + 7195817998.

It is an arithmetic number, because the mean of its divisors is an integer number (839520806400).

Almost surely, 264553643025123 is an apocalyptic number.

64553643025123 is a deficient number, since it is larger than the sum of its proper divisors (16040354389277).

64553643025123 is a wasteful number, since it uses less digits than its factorization.

64553643025123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9741 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 49.

The spelling of 64553643025123 in words is "sixty-four trillion, five hundred fifty-three billion, six hundred forty-three million, twenty-five thousand, one hundred twenty-three".

Divisors: 1 7 19 49 79 133 227 431 553 931 1501 1589 3017 3871 4313 8189 8971 10507 11123 17933 21119 30191 34049 57323 62797 73549 97837 125531 170449 211337 238343 340727 401261 439579 646931 684859 708709 878717 1193143 1668401 1858903 2036417 2385089 3866501 4528517 4794013 4960963 7729123 8352001 13012321 13465471 14254919 16695623 27065507 31699619 34726741 38691923 54103861 73463519 91086247 94258297 99784433 146853337 160876943 189458549 270843461 305453579 378727027 514244633 659808079 877695727 1027973359 1126138601 1895904227 2138175053 3056661917 3599712431 5803618001 6143870089 7195813513 7882970207 14967225371 16676218813 21396633419 40625326007 43007090623 69337962433 116733531691 149776433933 284377282049 485365737031 817134721837 1317421286227 3397560159217 9221949003589 64553643025123