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2729739680 = 25518019473
BaseRepresentation
bin1010001010110100…
…1000010110100000
321001020111010212122
42202231020112200
521042303132210
61130511443412
7124434255503
oct24255102640
97036433778
102729739680
111180959908
12642226568
133466ca0a5
141bc77513a
1510e9abb55
hexa2b485a0

2729739680 has 48 divisors (see below), whose sum is σ = 6453271944. Its totient is φ = 1091174400.

The previous prime is 2729739667. The next prime is 2729739763. The reversal of 2729739680 is 869379272.

It can be written as a sum of positive squares in 4 ways, for example, as 2388081424 + 341658256 = 48868^2 + 18484^2 .

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, 283424 + ... + 292896.

Almost surely, 22729739680 is an apocalyptic number.

2729739680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2729739680 is an abundant number, since it is smaller than the sum of its proper divisors (3723532264).

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

2729739680 is a wasteful number, since it uses less digits than its factorization.

2729739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 53.

The square root of 2729739680 is about 52246.9107220704. The cubic root of 2729739680 is about 1397.5705621142.

The spelling of 2729739680 in words is "two billion, seven hundred twenty-nine million, seven hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1801 3602 7204 9005 9473 14408 18010 18946 28816 36020 37892 47365 57632 72040 75784 94730 144080 151568 189460 288160 303136 378920 757840 1515680 17060873 34121746 68243492 85304365 136486984 170608730 272973968 341217460 545947936 682434920 1364869840 2729739680