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1020663144 = 233217218237
BaseRepresentation
bin111100110101100…
…001010101101000
32122010120001121200
4330311201111220
54042242210034
6245140204200
734202331204
oct7465412550
92563501550
101020663144
11484157366
12245999660
131335c33b7
14997a9b04
155e913a99
hex3cd61568

1020663144 has 48 divisors (see below), whose sum is σ = 2766238020. Its totient is φ = 339982080.

The previous prime is 1020663113. The next prime is 1020663227. The reversal of 1020663144 is 4413660201.

1020663144 is a `hidden beast` number, since 1 + 0 + 20 + 6 + 631 + 4 + 4 = 666.

1020663144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 983575044 + 37088100 = 31362^2 + 6090^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119794 + ... + 128030.

Almost surely, 21020663144 is an apocalyptic number.

It is an amenable number.

1020663144 is an abundant number, since it is smaller than the sum of its proper divisors (1745574876).

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

1020663144 is a wasteful number, since it uses less digits than its factorization.

1020663144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1020663144 is about 31947.8190804944. The cubic root of 1020663144 is about 1006.8408112589.

The spelling of 1020663144 in words is "one billion, twenty million, six hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1721 3442 5163 6884 8237 10326 13768 15489 16474 20652 24711 30978 32948 41304 49422 61956 65896 74133 98844 123912 148266 197688 296532 593064 14175877 28351754 42527631 56703508 85055262 113407016 127582893 170110524 255165786 340221048 510331572 1020663144