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457449390013 = 7311294180789
BaseRepresentation
bin1101010100000100001…
…10111011111110111101
31121201202102201202121111
412222002012323332331
524443324020440023
6550052132002021
745023010442000
oct6520206737675
91551672652544
10457449390013
11167004289420
12747a6a60311
13341a2829145
14181d7dcd537
15bd7527500d
hex6a821bbfbd

457449390013 has 32 divisors (see below), whose sum is σ = 602033760000. Its totient is φ = 344162468160.

The previous prime is 457449389993. The next prime is 457449390037. The reversal of 457449390013 is 310093944754.

It is not a de Polignac number, because 457449390013 - 229 = 456912519101 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457449393013) 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 31 ways as a sum of consecutive naturals, for example, 1980978 + ... + 2199811.

It is an arithmetic number, because the mean of its divisors is an integer number (18813555000).

Almost surely, 2457449390013 is an apocalyptic number.

It is an amenable number.

457449390013 is a deficient number, since it is larger than the sum of its proper divisors (144584369987).

457449390013 is a wasteful number, since it uses less digits than its factorization.

457449390013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180850 (or 4180836 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 457449390013 in words is "four hundred fifty-seven billion, four hundred forty-nine million, three hundred ninety thousand, thirteen".

Divisors: 1 7 11 29 49 77 203 319 343 539 1421 2233 3773 9947 15631 109417 4180789 29265523 45988679 121242881 204858661 321920753 848700167 1333671691 1434010627 2253445271 5940901169 9335701837 15774116897 41586308183 65349912859 457449390013