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65438683456 = 2667102114947
BaseRepresentation
bin111100111100011100…
…110001000101000000
320020220112102112212211
4330330130301011000
52033004300332311
650021230031504
74504426426456
oct747434610500
9206815375784
1065438683456
1125830481483
1210823348594
13622b452893
14324ad089d6
151a7ee5e821
hexf3c731140

65438683456 has 56 divisors (see below), whose sum is σ = 131930928416. Its totient is φ = 32197271040.

The previous prime is 65438683441. The next prime is 65438683493.

65438683456 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 65438683456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4370575 + ... + 4385521.

It is an arithmetic number, because the mean of its divisors is an integer number (2355909436).

Almost surely, 265438683456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65438683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65965464208).

65438683456 is an abundant number, since it is smaller than the sum of its proper divisors (66492244960).

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

65438683456 is a wasteful number, since it uses less digits than its factorization.

65438683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16047 (or 16037 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 58.

The spelling of 65438683456 in words is "sixty-five billion, four hundred thirty-eight million, six hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1021 1072 2042 2144 4084 4288 8168 14947 16336 29894 32672 59788 65344 68407 119576 136814 239152 273628 478304 547256 956608 1001449 1094512 2002898 2189024 4005796 4378048 8011592 15260887 16023184 30521774 32046368 61043548 64092736 122087096 244174192 488348384 976696768 1022479429 2044958858 4089917716 8179835432 16359670864 32719341728 65438683456