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2565114420 = 2235113886537
BaseRepresentation
bin1001100011100100…
…1000101000110100
320121202201022110210
42120321020220310
520223132130140
61102311145420
7120365053461
oct23071105064
96552638423
102565114420
1110a6a38480
125b7075270
1331b57a2ab
141a4960668
151002ddd80
hex98e48a34

2565114420 has 48 divisors (see below), whose sum is σ = 7835260608. Its totient is φ = 621845760.

The previous prime is 2565114403. The next prime is 2565114421. The reversal of 2565114420 is 244115652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565114421) 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, 1942609 + ... + 1943928.

It is an arithmetic number, because the mean of its divisors is an integer number (163234596).

Almost surely, 22565114420 is an apocalyptic number.

2565114420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565114420 is an abundant number, since it is smaller than the sum of its proper divisors (5270146188).

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

2565114420 is a wasteful number, since it uses less digits than its factorization.

2565114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886560 (or 3886558 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2565114420 is about 50646.9586451151. The cubic root of 2565114420 is about 1368.8911445949.

The spelling of 2565114420 in words is "two billion, five hundred sixty-five million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3886537 7773074 11659611 15546148 19432685 23319222 38865370 42751907 46638444 58298055 77730740 85503814 116596110 128255721 171007628 213759535 233192220 256511442 427519070 513022884 641278605 855038140 1282557210 2565114420