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2045151760 = 24525564397
BaseRepresentation
bin111100111100110…
…1000101000010000
312021112022110210111
41321321220220100
513142024324020
6534534411104
7101452334401
oct17171505020
95245273714
102045151760
1195a486873
12490b00a94
13267925a92
1415588d9a8
15be830d5a
hex79e68a10

2045151760 has 20 divisors (see below), whose sum is σ = 4754978028. Its totient is φ = 818060672.

The previous prime is 2045151707. The next prime is 2045151769. The reversal of 2045151760 is 671515402.

It can be written as a sum of positive squares in 2 ways, for example, as 1398161664 + 646990096 = 37392^2 + 25436^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2045151769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12782119 + ... + 12782278.

Almost surely, 22045151760 is an apocalyptic number.

2045151760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045151760 is an abundant number, since it is smaller than the sum of its proper divisors (2709826268).

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

2045151760 is a wasteful number, since it uses less digits than its factorization.

2045151760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25564410 (or 25564404 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 2045151760 is about 45223.3541436280. The cubic root of 2045151760 is about 1269.3318576188.

The spelling of 2045151760 in words is "two billion, forty-five million, one hundred fifty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25564397 51128794 102257588 127821985 204515176 255643970 409030352 511287940 1022575880 2045151760