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2570906268 = 2232710202009
BaseRepresentation
bin1001100100111100…
…1110101010011100
320122011121120101200
42121033032222130
520231123000033
61103035235500
7120465225360
oct23117165234
96564546350
102570906268
1110aa233a27
125b8ba8b90
1331c827618
141a562b2a0
15100a85013
hex993cea9c

2570906268 has 36 divisors (see below), whose sum is σ = 7427063280. Its totient is φ = 734544576.

The previous prime is 2570906263. The next prime is 2570906293. The reversal of 2570906268 is 8626090752.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570906263) 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 11 ways as a sum of consecutive naturals, for example, 5100753 + ... + 5101256.

Almost surely, 22570906268 is an apocalyptic number.

2570906268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2570906268 is an abundant number, since it is smaller than the sum of its proper divisors (4856157012).

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

2570906268 is a wasteful number, since it uses less digits than its factorization.

2570906268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202026 (or 10202021 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2570906268 is about 50704.1050409136. The cubic root of 2570906268 is about 1369.9206567792.

The spelling of 2570906268 in words is "two billion, five hundred seventy million, nine hundred six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 10202009 20404018 30606027 40808036 61212054 71414063 91818081 122424108 142828126 183636162 214242189 285656252 367272324 428484378 642726567 856968756 1285453134 2570906268