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1035121664 = 2101010861
BaseRepresentation
bin111101101100101…
…011010000000000
32200010202121222102
4331230223100000
54104442343124
6250414125532
734436250263
oct7554532000
92603677872
101035121664
11491332255
1224a7b08a8
131365b6435
149b690cda
1560d1caae
hex3db2b400

1035121664 has 22 divisors (see below), whose sum is σ = 2069234514. Its totient is φ = 517560320.

The previous prime is 1035121663. The next prime is 1035121669. The reversal of 1035121664 is 4661215301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 876160000 + 158961664 = 29600^2 + 12608^2 .

It is a super-3 number, since 3×10351216643 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035121663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504407 + ... + 506454.

Almost surely, 21035121664 is an apocalyptic number.

It is an amenable number.

1035121664 is a deficient number, since it is larger than the sum of its proper divisors (1034112850).

1035121664 is an equidigital number, since it uses as much as digits as its factorization.

1035121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010881 (or 1010863 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1035121664 is about 32173.3066998094. The cubic root of 1035121664 is about 1011.5727755553.

Adding to 1035121664 its reverse (4661215301), we get a palindrome (5696336965).

The spelling of 1035121664 in words is "one billion, thirty-five million, one hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1010861 2021722 4043444 8086888 16173776 32347552 64695104 129390208 258780416 517560832 1035121664