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2543995680 = 253537143243
BaseRepresentation
bin1001011110100010…
…0100101100100000
320120021222101000020
42113220210230200
520202230330210
61100234353440
7120020415012
oct22750445440
96507871006
102543995680
111096023676
125abb8b880
133170948b5
141a1c241b2
15ed51b770
hex97a24b20

2543995680 has 96 divisors (see below), whose sum is σ = 8230227264. Its totient is φ = 660059136.

The previous prime is 2543995673. The next prime is 2543995697. The reversal of 2543995680 is 865993452.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53862 + ... + 89381.

It is an arithmetic number, because the mean of its divisors is an integer number (85731534).

Almost surely, 22543995680 is an apocalyptic number.

2543995680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2543995680 is an abundant number, since it is smaller than the sum of its proper divisors (5686231584).

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

2543995680 is a wasteful number, since it uses less digits than its factorization.

2543995680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143298 (or 143290 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 2543995680 is about 50438.0380268702. The cubic root of 2543995680 is about 1365.1240665988.

The spelling of 2543995680 in words is "two billion, five hundred forty-three million, nine hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 143243 286486 429729 572972 716215 859458 1145944 1432430 1718916 2148645 2291888 2864860 3437832 4297290 4583776 5299991 5729720 6875664 8594580 10599982 11459440 13751328 15899973 17189160 21199964 22918880 26499955 31799946 34378320 42399928 52999910 63599892 68756640 79499865 84799856 105999820 127199784 158999730 169599712 211999640 254399568 317999460 423999280 508799136 635998920 847998560 1271997840 2543995680