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2575660020 = 2235233918353
BaseRepresentation
bin1001100110000101…
…0111001111110100
320122111120002022120
42121201113033310
520233332110040
61103325155540
7120553514613
oct23141271764
96574502276
102575660020
11110199054a
125ba6bbbb0
133208002ab
141a610787a
151011c37d0
hex998573f4

2575660020 has 48 divisors (see below), whose sum is σ = 7215324480. Its totient is φ = 686511616.

The previous prime is 2575660013. The next prime is 2575660049. The reversal of 2575660020 is 200665752.

It is a super-4 number, since 4×25756600204 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 131164 + ... + 149516.

It is an arithmetic number, because the mean of its divisors is an integer number (150319260).

Almost surely, 22575660020 is an apocalyptic number.

2575660020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2575660020 is an abundant number, since it is smaller than the sum of its proper divisors (4639664460).

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

2575660020 is a wasteful number, since it uses less digits than its factorization.

2575660020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20704 (or 20702 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2575660020 is about 50750.9607790828. The cubic root of 2575660020 is about 1370.7644906460.

The spelling of 2575660020 in words is "two billion, five hundred seventy-five million, six hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2339 4678 7017 9356 11695 14034 18353 23390 28068 35085 36706 46780 55059 70170 73412 91765 110118 140340 183530 220236 275295 367060 550590 1101180 42927667 85855334 128783001 171710668 214638335 257566002 429276670 515132004 643915005 858553340 1287830010 2575660020