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27307286944 = 2573117772213
BaseRepresentation
bin11001011011101001…
…000010000110100000
32121111002110220110221
4121123221002012200
5421411131140234
620313401532424
71654462052320
oct313351020640
977432426427
1027307286944
1110643284943
1253611a4114
132762560372
141470991280
15a9c532eb4
hex65ba421a0

27307286944 has 96 divisors (see below), whose sum is σ = 63487742976. Its totient is φ = 11314114560.

The previous prime is 27307286933. The next prime is 27307286947. The reversal of 27307286944 is 44968270372.

It is a junction number, because it is equal to n+sod(n) for n = 27307286891 and 27307286900.

It is not an unprimeable number, because it can be changed into a prime (27307286947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12338382 + ... + 12340594.

It is an arithmetic number, because the mean of its divisors is an integer number (661330656).

Almost surely, 227307286944 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 27307286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31743871488).

27307286944 is an abundant number, since it is smaller than the sum of its proper divisors (36180456032).

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

27307286944 is a wasteful number, since it uses less digits than its factorization.

27307286944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 27307286944 in words is "twenty-seven billion, three hundred seven million, two hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 1777 2213 3472 3554 4426 6944 7108 8852 12439 14216 15491 17704 24878 28432 30982 35408 49756 55087 56864 61964 68603 70816 99512 110174 123928 137206 199024 220348 247856 274412 385609 398048 440696 480221 495712 548824 771218 881392 960442 1097648 1542436 1762784 1920884 2195296 3084872 3841768 3932501 6169744 7683536 7865002 12339488 15367072 15730004 27527507 31460008 55055014 62920016 110110028 121907531 125840032 220220056 243815062 440440112 487630124 853352717 880880224 975260248 1706705434 1950520496 3413410868 3901040992 6826821736 13653643472 27307286944