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2029641024 = 26310571047
BaseRepresentation
bin111100011111001…
…1101110101000000
312020110010110001210
41320332131311000
513124042003044
6533222130120
7101203443525
oct17076356500
95213113053
102029641024
11951752384
12487880940
13264654b28
141537b314c
15bd2ba1b9
hex78f9dd40

2029641024 has 28 divisors (see below), whose sum is σ = 5370092384. Its totient is φ = 676546944.

The previous prime is 2029641023. The next prime is 2029641041. The reversal of 2029641024 is 4201469202.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2029640982 and 2029641000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029641023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5285332 + ... + 5285715.

Almost surely, 22029641024 is an apocalyptic number.

2029641024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2029641024 is an abundant number, since it is smaller than the sum of its proper divisors (3340451360).

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

2029641024 is a wasteful number, since it uses less digits than its factorization.

2029641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10571062 (or 10571052 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2029641024 is about 45051.5374210470. The cubic root of 2029641024 is about 1266.1147768728.

The spelling of 2029641024 in words is "two billion, twenty-nine million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 10571047 21142094 31713141 42284188 63426282 84568376 126852564 169136752 253705128 338273504 507410256 676547008 1014820512 2029641024