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2729379864 = 2334716714489
BaseRepresentation
bin1010001010101111…
…0000100000011000
321001012210212022010
42202223300200120
521042210123424
61130500025520
7124431226461
oct24253604030
97035725263
102729379864
111180733542
126420922a0
13346602393
141bc6bdd68
1510e93a229
hexa2af0818

2729379864 has 64 divisors (see below), whose sum is σ = 7010841600. Its totient is φ = 885042944.

The previous prime is 2729379859. The next prime is 2729379883. The reversal of 2729379864 is 4689739272.

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, 181132 + ... + 195620.

It is an arithmetic number, because the mean of its divisors is an integer number (109544400).

Almost surely, 22729379864 is an apocalyptic number.

2729379864 is a gapful number since it is divisible by the number (24) 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 2729379864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505420800).

2729379864 is an abundant number, since it is smaller than the sum of its proper divisors (4281461736).

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

2729379864 is a wasteful number, since it uses less digits than its factorization.

2729379864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14712 (or 14708 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 2729379864 is about 52243.4671896879. The cubic root of 2729379864 is about 1397.5091532859.

The spelling of 2729379864 in words is "two billion, seven hundred twenty-nine million, three hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 167 188 282 334 376 501 564 668 1002 1128 1336 2004 4008 7849 14489 15698 23547 28978 31396 43467 47094 57956 62792 86934 94188 115912 173868 188376 347736 680983 1361966 2042949 2419663 2723932 4085898 4839326 5447864 7258989 8171796 9678652 14517978 16343592 19357304 29035956 58071912 113724161 227448322 341172483 454896644 682344966 909793288 1364689932 2729379864