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2863212820 = 2251383132679
BaseRepresentation
bin1010101010101001…
…0010100100010100
321101112122021121021
42222222102210110
521330440302240
61152040330524
7130644623146
oct25252224424
97345567537
102863212820
11123a233196
1267aa73a44
13368260690
141d239ac96
1511b57454a
hexaaa92914

2863212820 has 48 divisors (see below), whose sum is σ = 6553330560. Its totient is φ = 1044441216.

The previous prime is 2863212817. The next prime is 2863212827. The reversal of 2863212820 is 282123682.

It is a happy number.

It is a super-2 number, since 2×28632128202 = 16395975305224704800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2863212827) by changing a digit.

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, 44760 + ... + 87919.

It is an arithmetic number, because the mean of its divisors is an integer number (136527720).

Almost surely, 22863212820 is an apocalyptic number.

2863212820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2863212820 is an abundant number, since it is smaller than the sum of its proper divisors (3690117740).

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

2863212820 is a wasteful number, since it uses less digits than its factorization.

2863212820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132784 (or 132782 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2863212820 is about 53508.9975611579. The cubic root of 2863212820 is about 1419.9875718016.

The spelling of 2863212820 in words is "two billion, eight hundred sixty-three million, two hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 4316 5395 10790 21580 132679 265358 530716 663395 1326790 1724827 2653580 3449654 6899308 8624135 11012357 17248270 22024714 34496540 44049428 55061785 110123570 143160641 220247140 286321282 572642564 715803205 1431606410 2863212820