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13246321680 = 2432522781047
BaseRepresentation
bin11000101011000101…
…01101010000010000
31021012011021212021200
430111202231100100
5204112024243210
610030230351200
7646153606434
oct142542552020
937164255250
1013246321680
115688226599
1226981bb500
131331427087
148d93689c4
15527dab0c0
hex3158ad410

13246321680 has 120 divisors (see below), whose sum is σ = 44682086592. Its totient is φ = 3516748032.

The previous prime is 13246321639. The next prime is 13246321691. The reversal of 13246321680 is 8612364231.

13246321680 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 632 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 122917 + ... + 203963.

Almost surely, 213246321680 is an apocalyptic number.

13246321680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13246321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22341043296).

13246321680 is an abundant number, since it is smaller than the sum of its proper divisors (31435764912).

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

13246321680 is a wasteful number, since it uses less digits than its factorization.

13246321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81293 (or 81284 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13246321680 in words is "thirteen billion, two hundred forty-six million, three hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 227 240 360 454 681 720 908 1135 1362 1816 2043 2270 2724 3405 3632 4086 4540 5448 6810 8172 9080 10215 10896 13620 16344 18160 20430 27240 32688 40860 54480 81047 81720 162094 163440 243141 324188 405235 486282 648376 729423 810470 972564 1215705 1296752 1458846 1620940 1945128 2431410 2917692 3241880 3647115 3890256 4862820 5835384 6483760 7294230 9725640 11670768 14588460 18397669 19451280 29176920 36795338 55193007 58353840 73590676 91988345 110386014 147181352 165579021 183976690 220772028 275965035 294362704 331158042 367953380 441544056 551930070 662316084 735906760 827895105 883088112 1103860140 1324632168 1471813520 1655790210 2207720280 2649264336 3311580420 4415440560 6623160840 13246321680