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2864665680 = 243511936107
BaseRepresentation
bin1010101010111111…
…0101010001010000
321101122101002112220
42222233311101100
521331323300210
61152131421040
7130663153662
oct25257652120
97348332486
102864665680
1112400357a8
1267b454780
1336864ba66
141d2658532
1511b75ec70
hexaabf5450

2864665680 has 40 divisors (see below), whose sum is σ = 8880464352. Its totient is φ = 763910784.

The previous prime is 2864665679. The next prime is 2864665691. The reversal of 2864665680 is 865664682.

2864665680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5967814 + ... + 5968293.

Almost surely, 22864665680 is an apocalyptic number.

2864665680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2864665680 is an abundant number, since it is smaller than the sum of its proper divisors (6015798672).

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

2864665680 is a wasteful number, since it uses less digits than its factorization.

2864665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936123 (or 11936117 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 2864665680 is about 53522.5716870929. The cubic root of 2864665680 is about 1420.2277093005.

The spelling of 2864665680 in words is "two billion, eight hundred sixty-four million, six hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11936107 23872214 35808321 47744428 59680535 71616642 95488856 119361070 143233284 179041605 190977712 238722140 286466568 358083210 477444280 572933136 716166420 954888560 1432332840 2864665680