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457341143754 = 23112911691489
BaseRepresentation
bin1101010011110111010…
…10000000101011001010
31121201110220001021122210
412221323222000223022
524443113313100004
6550033303525550
745020224403145
oct6517352005312
91551426037583
10457341143754
11166a59175400
12747767598b6
13341862890c1
14181c789305c
15bd6a9e2089
hex6a7ba80aca

457341143754 has 48 divisors (see below), whose sum is σ = 1006499652480. Its totient is φ = 138435897600.

The previous prime is 457341143729. The next prime is 457341143773.

457341143754 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315642 + ... + 1007130.

It is an arithmetic number, because the mean of its divisors is an integer number (20968742760).

Almost surely, 2457341143754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457341143754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503249826240).

457341143754 is an abundant number, since it is smaller than the sum of its proper divisors (549158508726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457341143754 is a wasteful number, since it uses less digits than its factorization.

457341143754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692427 (or 692416 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The spelling of 457341143754 in words is "four hundred fifty-seven billion, three hundred forty-one million, one hundred forty-three thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 911 1822 2733 5466 10021 20042 30063 60126 110231 220462 330693 661386 691489 1382978 2074467 4148934 7606379 15212758 22819137 45638274 83670169 167340338 251010507 502021014 629946479 1259892958 1889839437 3779678874 6929411269 13858822538 20788233807 41576467614 76223523959 152447047918 228670571877 457341143754