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56458433485465 = 51119895783104971
BaseRepresentation
bin11001101011001010000001…
…10111110101101010011001
321101220101002022011210211021
430311211000313311222121
524400003332433013330
6320024351333002441
714614662420314254
oct1465450067655231
9241811068153737
1056458433485465
1116a9798391a390
1263ba033183421
13256701343aabb
14dd2861d9409b
1567d93045b67a
hex335940df5a99

56458433485465 has 64 divisors (see below), whose sum is σ = 78687683020800. Its totient is φ = 38455499174400.

The previous prime is 56458433485459. The next prime is 56458433485471.

56458433485465 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56458433485459) and next prime (56458433485471).

It is not a de Polignac number, because 56458433485465 - 29 = 56458433484953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56458433485394 and 56458433485403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537795430 + ... + 537900400.

It is an arithmetic number, because the mean of its divisors is an integer number (1229495047200).

Almost surely, 256458433485465 is an apocalyptic number.

56458433485465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56458433485465 is a deficient number, since it is larger than the sum of its proper divisors (22229249535335).

56458433485465 is a wasteful number, since it uses less digits than its factorization.

56458433485465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110878.

The product of its digits is 3317760000, while the sum is 70.

The spelling of 56458433485465 in words is "fifty-six trillion, four hundred fifty-eight billion, four hundred thirty-three million, four hundred eighty-five thousand, four hundred sixty-five".

Divisors: 1 5 11 19 55 89 95 209 445 979 1045 1691 4895 5783 8455 18601 28915 63613 93005 104971 109877 318065 514687 524855 549385 1154681 1208647 1994449 2573435 5661557 5773405 6043235 9342419 9779053 9972245 21938939 28307785 46712095 48895265 102766609 107569583 109694695 177505961 513833045 537847915 607047293 887529805 1952565571 3035236465 6677520223 9762827855 11533898567 33387601115 54027209077 57669492835 126872884237 270136045385 594299299847 634364421185 1026516972463 2971496499235 5132584862315 11291686697093 56458433485465