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2568132100 = 225225681321
BaseRepresentation
bin1001100100010010…
…1001011000000100
320121222101121221201
42121010221120010
520224420211400
61102455552244
7120432522412
oct23104513004
96558347851
102568132100
1110a8709726
125b808b684
1331c0959c1
141a51082b2
151006d806a
hex99129604

2568132100 has 18 divisors (see below), whose sum is σ = 5572846874. Its totient is φ = 1027252800.

The previous prime is 2568132089. The next prime is 2568132157. The reversal of 2568132100 is 12318652.

It can be written as a sum of positive squares in 3 ways, for example, as 800097796 + 1768034304 = 28286^2 + 42048^2 .

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 5 ways as a sum of consecutive naturals, for example, 12840561 + ... + 12840760.

Almost surely, 22568132100 is an apocalyptic number.

2568132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2568132100 is an abundant number, since it is smaller than the sum of its proper divisors (3004714774).

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

2568132100 is a wasteful number, since it uses less digits than its factorization.

2568132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25681335 (or 25681328 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2568132100 is about 50676.7412133022. The cubic root of 2568132100 is about 1369.4277361999.

The spelling of 2568132100 in words is "two billion, five hundred sixty-eight million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 25681321 51362642 102725284 128406605 256813210 513626420 642033025 1284066050 2568132100