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17136019712 = 28726012273
BaseRepresentation
bin11111111010110001…
…01110100100000000
31122020020102222212202
433331120232210000
5240043310112322
611512220212332
71144434523100
oct177530564400
948206388782
1017136019712
1172a3922269
1233a299a0a8
131801238b46
14b87ba9200
156a45e4292
hex3fd62e900

17136019712 has 108 divisors (see below), whose sum is σ = 39873348396. Its totient is φ = 7328563200.

The previous prime is 17136019711. The next prime is 17136019723. The reversal of 17136019712 is 21791063171.

17136019712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14848884736 + 2287134976 = 121856^2 + 47824^2 .

It is not an unprimeable number, because it can be changed into a prime (17136019711) 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 11 ways as a sum of consecutive naturals, for example, 7537808 + ... + 7540080.

Almost surely, 217136019712 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 17136019712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936674198).

17136019712 is an abundant number, since it is smaller than the sum of its proper divisors (22737328684).

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

17136019712 is an equidigital number, since it uses as much as digits as its factorization.

17136019712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The spelling of 17136019712 in words is "seventeen billion, one hundred thirty-six million, nineteen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 601 784 896 1202 1568 1792 2273 2404 3136 4207 4546 4808 6272 8414 9092 9616 12544 15911 16828 18184 19232 29449 31822 33656 36368 38464 58898 63644 67312 72736 76928 111377 117796 127288 134624 145472 153856 222754 235592 254576 269248 290944 445508 471184 509152 538496 581888 891016 942368 1018304 1076992 1366073 1782032 1884736 2036608 2732146 3564064 3769472 4073216 5464292 7128128 7538944 9562511 10928584 14256256 19125022 21857168 28512512 38250044 43714336 66937577 76500088 87428672 133875154 153000176 174857344 267750308 306000352 349714688 535500616 612000704 1071001232 1224001408 2142002464 2448002816 4284004928 8568009856 17136019712