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27744654040 = 23531172113001
BaseRepresentation
bin11001110101101101…
…011101001011011000
32122121120110110100021
4121311231131023120
5423310112412130
620425024120224
72001352445125
oct316555351330
978546413307
1027744654040
1110848152254
125463766074
132802055c6c
1414b2ac174c
15ac5b2837a
hex675b5d2d8

27744654040 has 64 divisors (see below), whose sum is σ = 64481598720. Its totient is φ = 10732800000.

The previous prime is 27744654029. The next prime is 27744654053. The reversal of 27744654040 is 4045644772.

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, 2127540 + ... + 2140540.

It is an arithmetic number, because the mean of its divisors is an integer number (1007524980).

Almost surely, 227744654040 is an apocalyptic number.

27744654040 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 27744654040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32240799360).

27744654040 is an abundant number, since it is smaller than the sum of its proper divisors (36736944680).

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

27744654040 is a wasteful number, since it uses less digits than its factorization.

27744654040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 43.

The spelling of 27744654040 in words is "twenty-seven billion, seven hundred forty-four million, six hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1721 3442 6884 8605 13001 13768 17210 26002 34420 52004 53351 65005 68840 104008 106702 130010 213404 260020 266755 403031 426808 520040 533510 806062 1067020 1612124 2015155 2134040 3224248 4030310 8060620 16121240 22374721 44749442 89498884 111873605 178997768 223747210 447494420 693616351 894988840 1387232702 2774465404 3468081755 5548930808 6936163510 13872327020 27744654040