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27071438976 = 27346738971
BaseRepresentation
bin11001001101100101…
…010110000010000000
32120212122200120220000
4121031211112002000
5420420242021401
620234134520000
71645566302031
oct311545260200
976778616800
1027071438976
111053213786a
1252b6206000
13272573435a
14144b51aa88
15a86997186
hex64d956080

27071438976 has 160 divisors (see below), whose sum is σ = 81768712080. Its totient is φ = 8888901120.

The previous prime is 27071438971. The next prime is 27071438987. The reversal of 27071438976 is 67983417072.

27071438976 is a `hidden beast` number, since 2 + 70 + 71 + 438 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27071438971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 675171 + ... + 714141.

Almost surely, 227071438976 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 27071438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884356040).

27071438976 is an abundant number, since it is smaller than the sum of its proper divisors (54697273104).

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

27071438976 is an equidigital number, since it uses as much as digits as its factorization.

27071438976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39064 (or 39043 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 27071438976 in words is "twenty-seven billion, seventy-one million, four hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 128 134 144 162 192 201 216 268 288 324 384 402 432 536 576 603 648 804 864 1072 1152 1206 1296 1608 1728 1809 2144 2412 2592 3216 3456 3618 4288 4824 5184 5427 6432 7236 8576 9648 10368 10854 12864 14472 19296 21708 25728 28944 38592 38971 43416 57888 77184 77942 86832 115776 116913 155884 173664 231552 233826 311768 347328 350739 467652 623536 694656 701478 935304 1052217 1247072 1402956 1870608 2104434 2494144 2611057 2805912 3156651 3741216 4208868 4988288 5222114 5611824 6313302 7482432 7833171 8417736 10444228 11223648 12626604 14964864 15666342 16835472 20888456 22447296 23499513 25253208 31332684 33670944 41776912 44894592 46999026 50506416 62665368 67341888 70498539 83553824 93998052 101012832 125330736 134683776 140997078 167107648 187996104 202025664 211495617 250661472 281994156 334215296 375992208 404051328 422991234 501322944 563988312 751984416 845982468 1002645888 1127976624 1503968832 1691964936 2255953248 3007937664 3383929872 4511906496 6767859744 9023812992 13535719488 27071438976