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27703742748 = 223113733117137
BaseRepresentation
bin11001110011010001…
…011001000100011100
32122111201110221121020
4121303101121010130
5423214124231443
620421003204140
72000344633203
oct316321310434
978451427536
1027703742748
1110827049a70
125451b16650
1327c67306b6
1414ab4b223a
15ac2246583
hex67345911c

27703742748 has 96 divisors (see below), whose sum is σ = 72647570688. Its totient is φ = 8143027200.

The previous prime is 27703742707. The next prime is 27703742761. The reversal of 27703742748 is 84724730772.

It is a self number, because there is not a number n which added to its sum of digits gives 27703742748.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608036 + ... + 1625172.

It is an arithmetic number, because the mean of its divisors is an integer number (756745528).

Almost surely, 227703742748 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 27703742748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36323785344).

27703742748 is an abundant number, since it is smaller than the sum of its proper divisors (44943827940).

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

27703742748 is a wasteful number, since it uses less digits than its factorization.

27703742748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17523 (or 17521 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 51.

The spelling of 27703742748 in words is "twenty-seven billion, seven hundred three million, seven hundred forty-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 331 407 444 662 814 993 1221 1324 1628 1986 2442 3641 3972 4884 7282 10923 12247 14564 17137 21846 24494 34274 36741 43692 48988 51411 68548 73482 102822 134717 146964 188507 205644 269434 377014 404151 538868 565521 634069 754028 808302 1131042 1268138 1616604 1902207 2262084 2536276 3804414 5672347 6974759 7608828 11344694 13949518 17017041 20924277 22689388 27899036 34034082 41848554 62395817 68068164 83697108 124791634 187187451 209876839 249583268 374374902 419753678 629630517 748749804 839507356 1259261034 2308645229 2518522068 4617290458 6925935687 9234580916 13851871374 27703742748