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13271209344 = 273325115299
BaseRepresentation
bin11000101110000011…
…01001010110000000
31021020220010021202000
430113001221112000
5204134412144334
610032520024000
7646605263301
oct142701512600
937226107660
1013271209344
1156a0285008
1226a4602000
13133662c0c3
148dc7a67a8
1552a175299
hex317069580

13271209344 has 128 divisors (see below), whose sum is σ = 39327120000. Its totient is φ = 4405824000.

The previous prime is 13271209313. The next prime is 13271209351. The reversal of 13271209344 is 44390217231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×132712093442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13271209299 and 13271209308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 859807 + ... + 875105.

It is an arithmetic number, because the mean of its divisors is an integer number (307243125).

Almost surely, 213271209344 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 13271209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663560000).

13271209344 is an abundant number, since it is smaller than the sum of its proper divisors (26055910656).

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

13271209344 is a wasteful number, since it uses less digits than its factorization.

13271209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15573 (or 15555 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13271209344 in words is "thirteen billion, two hundred seventy-one million, two hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 251 288 384 432 502 576 753 864 1004 1152 1506 1728 2008 2259 3012 3456 4016 4518 6024 6777 8032 9036 12048 13554 15299 16064 18072 24096 27108 30598 32128 36144 45897 48192 54216 61196 72288 91794 96384 108432 122392 137691 144576 183588 216864 244784 275382 289152 367176 413073 433728 489568 550764 734352 826146 867456 979136 1101528 1468704 1652292 1958272 2203056 2937408 3304584 3840049 4406112 5874816 6609168 7680098 8812224 11520147 13218336 15360196 17624448 23040294 26436672 30720392 34560441 46080588 52873344 61440784 69120882 92161176 103681323 122881568 138241764 184322352 207362646 245763136 276483528 368644704 414725292 491526272 552967056 737289408 829450584 1105934112 1474578816 1658901168 2211868224 3317802336 4423736448 6635604672 13271209344