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2125610480 = 245731122443
BaseRepresentation
bin111111010110010…
…0011110111110000
312111010201012102002
41332230203313300
513323124013410
6550531113132
7103450251050
oct17654436760
95433635362
102125610480
119a0940684
124b3a427a8
1327b4b6ba6
14162435560
15c69257a5
hex7eb23df0

2125610480 has 80 divisors (see below), whose sum is σ = 5830293504. Its totient is φ = 705265920.

The previous prime is 2125610479. The next prime is 2125610483. The reversal of 2125610480 is 840165212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125610483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43862 + ... + 78581.

Almost surely, 22125610480 is an apocalyptic number.

2125610480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125610480 is an abundant number, since it is smaller than the sum of its proper divisors (3704683024).

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

2125610480 is a wasteful number, since it uses less digits than its factorization.

2125610480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122494 (or 122488 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2125610480 is about 46104.3433962571. The cubic root of 2125610480 is about 1285.7638985206.

Adding to 2125610480 its reverse (840165212), we get a palindrome (2965775692).

The spelling of 2125610480 in words is "two billion, one hundred twenty-five million, six hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 122443 244886 489772 612215 857101 979544 1224430 1714202 1959088 2448860 3428404 3795733 4285505 4897720 6856808 7591466 8571010 9795440 13713616 15182932 17142020 18978665 26570131 30365864 34284040 37957330 53140262 60731728 68568080 75914660 106280524 132850655 151829320 212561048 265701310 303658640 425122096 531402620 1062805240 2125610480