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13171298304 = 21233473089
BaseRepresentation
bin11000100010001001…
…00001000000000000
31020222221010021120010
430101010201000000
5203433323021204
610014550344520
7644253121413
oct142104410000
936887107503
1013171298304
1156499443aa
12267705b140
13131ba19c48
148cd3d9b7a
155214dbd89
hex311121000

13171298304 has 104 divisors (see below), whose sum is σ = 35231784480. Its totient is φ = 4376363008.

The previous prime is 13171298251. The next prime is 13171298311. The reversal of 13171298304 is 40389217131.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4262392 + ... + 4265480.

Almost surely, 213171298304 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 13171298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17615892240).

13171298304 is an abundant number, since it is smaller than the sum of its proper divisors (22060486176).

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

13171298304 is an equidigital number, since it uses as much as digits as its factorization.

13171298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 13171298304 in words is "thirteen billion, one hundred seventy-one million, two hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 347 384 512 694 768 1024 1041 1388 1536 2048 2082 2776 3072 3089 4096 4164 5552 6144 6178 8328 9267 11104 12288 12356 16656 18534 22208 24712 33312 37068 44416 49424 66624 74136 88832 98848 133248 148272 177664 197696 266496 296544 355328 395392 532992 593088 710656 790784 1065984 1071883 1186176 1421312 1581568 2131968 2143766 2372352 3163136 3215649 4263936 4287532 4744704 6326272 6431298 8575064 9489408 12652544 12862596 17150128 18978816 25725192 34300256 37957632 51450384 68600512 102900768 137201024 205801536 274402048 411603072 548804096 823206144 1097608192 1646412288 2195216384 3292824576 4390432768 6585649152 13171298304