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1063281664 = 21010192
BaseRepresentation
bin111111011000000…
…110010000000000
32202002202022020101
4333120012100000
54134200003124
6253301452144
735230513354
oct7730062000
92662668211
101063281664
114a6216285
12258111054
1313c395a63
14a1301464
1563531644
hex3f606400

1063281664 has 33 divisors (see below), whose sum is σ = 2127612907. Its totient is φ = 531119104.

The previous prime is 1063281649. The next prime is 1063281671. The reversal of 1063281664 is 4661823601.

It is a happy number.

The square root of 1063281664 is 32608.

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

It is a super-2 number, since 2×10632816642 = 2261135793997217792, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1042947 + ... + 1043965.

Almost surely, 21063281664 is an apocalyptic number.

1063281664 is the 32608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063281664

1063281664 is an abundant number, since it is smaller than the sum of its proper divisors (1064331243).

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

1063281664 is an frugal number, since it uses more digits than its factorization.

1063281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The cubic root of 1063281664 is about 1020.6639480894.

The spelling of 1063281664 in words is "one billion, sixty-three million, two hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1019 1024 2038 4076 8152 16304 32608 65216 130432 260864 521728 1038361 1043456 2076722 4153444 8306888 16613776 33227552 66455104 132910208 265820416 531640832 1063281664