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13312017290080 = 2551494191332673
BaseRepresentation
bin1100000110110111001000…
…0011111101001101100000
31202010121122101002010220101
43001231302003331031200
53221101002411240310
644151242321552144
72542522124662135
oct301556203751540
952117571063811
1013312017290080
11427265a797993
1215abb5b7a5654
137574193c3652
1434043b1a658c
15181421d7e43a
hexc1b720fd360

13312017290080 has 96 divisors (see below), whose sum is σ = 31736298636000. Its totient is φ = 5276442918912.

The previous prime is 13312017290057. The next prime is 13312017290111. The reversal of 13312017290080 is 8009271021331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9322624 + ... + 10655296.

It is an arithmetic number, because the mean of its divisors is an integer number (330586444125).

Almost surely, 213312017290080 is an apocalyptic number.

13312017290080 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 13312017290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868149318000).

13312017290080 is an abundant number, since it is smaller than the sum of its proper divisors (18424281345920).

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

13312017290080 is a wasteful number, since it uses less digits than its factorization.

13312017290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333256 (or 1333248 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 13312017290080 in words is "thirteen trillion, three hundred twelve billion, seventeen million, two hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 419 596 745 838 1192 1490 1676 2095 2384 2980 3352 4190 4768 5960 6704 8380 11920 13408 16760 23840 33520 62431 67040 124862 249724 312155 499448 624310 998896 1248620 1332673 1997792 2497240 2665346 4994480 5330692 6663365 9988960 10661384 13326730 21322768 26653460 42645536 53306920 106613840 198568277 213227680 397136554 558389987 794273108 992841385 1116779974 1588546216 1985682770 2233559948 2791949935 3177092432 3971365540 4467119896 5583899870 6354184864 7942731080 8934239792 11167799740 15885462160 17868479584 22335599480 31770924320 44671198960 83200108063 89342397920 166400216126 332800432252 416000540315 665600864504 832001080630 1331201729008 1664002161260 2662403458016 3328004322520 6656008645040 13312017290080