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985441377636 = 22321654492
BaseRepresentation
bin11100101011100001110…
…00100001110101100100
310111012121002210210002100
432111300320201311210
5112121140443041021
62032412220412100
7131124104334612
oct16256070416544
93435532723070
10985441377636
1134aa17a70491
1213ab9a3a7030
1371c0801a9b1
14359a4ab86b2
151a97858a626
hexe570e21d64

985441377636 has 27 divisors (see below), whose sum is σ = 2490991871641. Its totient is φ = 328478473824.

The previous prime is 985441377619. The next prime is 985441377649. The reversal of 985441377636 is 636773144589.

It is a happy number.

The square root of 985441377636 is 992694.

It is a perfect power (a square), and thus also a powerful number.

985441377636 is a `hidden beast` number, since 9 + 8 + 544 + 13 + 7 + 76 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108896040036 + 876545337600 = 329994^2 + 936240^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 5873440 + ... + 6038888.

Almost surely, 2985441377636 is an apocalyptic number.

985441377636 is the 992694-th square number.

It is an amenable number.

985441377636 is an abundant number, since it is smaller than the sum of its proper divisors (1505550494005).

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

985441377636 is an frugal number, since it uses more digits than its factorization.

985441377636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330908 (or 165454 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 985441377636 in words is "nine hundred eighty-five billion, four hundred forty-one million, three hundred seventy-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 165449 330898 496347 661796 992694 1489041 1985388 2978082 5956164 27373371601 54746743202 82120114803 109493486404 164240229606 246360344409 328480459212 492720688818 985441377636