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2643145720 = 235175965881
BaseRepresentation
bin1001110110001011…
…0011001111111000
320211012112201021221
42131202303033320
520403121130340
61114135441424
7122333240125
oct23542631770
96735481257
102643145720
111136a94556
12619226274
1333179b567
141b107374c
151070a444a
hex9d8b33f8

2643145720 has 64 divisors (see below), whose sum is σ = 6403730400. Its totient is φ = 978186240.

The previous prime is 2643145679. The next prime is 2643145733. The reversal of 2643145720 is 275413462.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7180 + ... + 73060.

Almost surely, 22643145720 is an apocalyptic number.

2643145720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2643145720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201865200).

2643145720 is an abundant number, since it is smaller than the sum of its proper divisors (3760584680).

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

2643145720 is a wasteful number, since it uses less digits than its factorization.

2643145720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65968 (or 65964 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2643145720 is about 51411.5329473845. The cubic root of 2643145720 is about 1382.6333739852.

The spelling of 2643145720 in words is "two billion, six hundred forty-three million, one hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 1003 1180 2006 2360 4012 5015 8024 10030 20060 40120 65881 131762 263524 329405 527048 658810 1119977 1317620 2239954 2635240 3886979 4479908 5599885 7773958 8959816 11199770 15547916 19434895 22399540 31095832 38869790 44799080 66078643 77739580 132157286 155479160 264314572 330393215 528629144 660786430 1321572860 2643145720