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13179328960 = 265737159017
BaseRepresentation
bin11000100011000110…
…01001100111000000
31021000111020021112211
430101203021213000
5203442402011320
610015434431504
7644411306410
oct142143114700
937014207484
1013179328960
115653429a06
122679892594
13132059c305
148d04ca640
1552207655a
hex3118c99c0

13179328960 has 112 divisors (see below), whose sum is σ = 36836201664. Its totient is φ = 4396474368.

The previous prime is 13179328919. The next prime is 13179328979. The reversal of 13179328960 is 6982397131.

It is a tau number, because it is divible by the number of its divisors (112).

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, 3372 + ... + 162388.

Almost surely, 213179328960 is an apocalyptic number.

13179328960 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 13179328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418100832).

13179328960 is an abundant number, since it is smaller than the sum of its proper divisors (23656872704).

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

13179328960 is a wasteful number, since it uses less digits than its factorization.

13179328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159078 (or 159068 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 13179328960 in words is "thirteen billion, one hundred seventy-nine million, three hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2368 2590 2960 4144 5180 5920 8288 10360 11840 16576 20720 41440 82880 159017 318034 636068 795085 1113119 1272136 1590170 2226238 2544272 3180340 4452476 5088544 5565595 5883629 6360680 8904952 10177088 11131190 11767258 12721360 17809904 22262380 23534516 25442720 29418145 35619808 41185403 44524760 47069032 50885440 58836290 71239616 82370806 89049520 94138064 117672580 164741612 178099040 188276128 205927015 235345160 329483224 356198080 376552256 411854030 470690320 658966448 823708060 941380640 1317932896 1647416120 1882761280 2635865792 3294832240 6589664480 13179328960