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27739670944 = 256189159673
BaseRepresentation
bin11001110101011010…
…011100100110100000
32122121020002021211011
4121311122130212200
5423302323432234
620424325230304
72001262212136
oct316532344640
978536067734
1027739670944
1110845359397
125461b62394
132800ccca9b
1414b2185756
15ac5491b64
hex67569c9a0

27739670944 has 48 divisors (see below), whose sum is σ = 56131797960. Its totient is φ = 13489090560.

The previous prime is 27739670921. The next prime is 27739670947. The reversal of 27739670944 is 44907693772.

It can be written as a sum of positive squares in 4 ways, for example, as 3031603600 + 24708067344 = 55060^2 + 157188^2 .

It is a super-2 number, since 2×277396709442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27739670947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93892 + ... + 253564.

Almost surely, 227739670944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27739670944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28065898980).

27739670944 is an abundant number, since it is smaller than the sum of its proper divisors (28392127016).

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

27739670944 is a wasteful number, since it uses less digits than its factorization.

27739670944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159833 (or 159825 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 58.

The spelling of 27739670944 in words is "twenty-seven billion, seven hundred thirty-nine million, six hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 61 89 122 178 244 356 488 712 976 1424 1952 2848 5429 10858 21716 43432 86864 159673 173728 319346 638692 1277384 2554768 5109536 9740053 14210897 19480106 28421794 38960212 56843588 77920424 113687176 155840848 227374352 311681696 454748704 866864717 1733729434 3467458868 6934917736 13869835472 27739670944