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1002051616 = 25291079797
BaseRepresentation
bin111011101110100…
…001100000100000
32120211112111101211
4323232201200200
54023011122431
6243233235504
733555204166
oct7356414040
92524474354
101002051616
114746a5235
1223b702b94
1312c7a7c67
1497123236
155ce892b1
hex3bba1820

1002051616 has 24 divisors (see below), whose sum is σ = 2040818220. Its totient is φ = 483748608.

The previous prime is 1002051607. The next prime is 1002051629. The reversal of 1002051616 is 6161502001.

It can be written as a sum of positive squares in 2 ways, for example, as 986211216 + 15840400 = 31404^2 + 3980^2 .

It is a super-2 number, since 2×10020516162 = 2008214882256422912, which contains 22 as substring.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 538971 + ... + 540826.

Almost surely, 21002051616 is an apocalyptic number.

1002051616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1002051616 is an abundant number, since it is smaller than the sum of its proper divisors (1038766604).

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

1002051616 is a wasteful number, since it uses less digits than its factorization.

1002051616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079836 (or 1079828 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1002051616 is about 31655.1988779095. The cubic root of 1002051616 is about 1000.6834048514.

Adding to 1002051616 its reverse (6161502001), we get a palindrome (7163553617).

The spelling of 1002051616 in words is "one billion, two million, fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1079797 2159594 4319188 8638376 17276752 31314113 34553504 62628226 125256452 250512904 501025808 1002051616