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12691041039360 = 210325275413217
BaseRepresentation
bin1011100010101101110011…
…1111100011010000000000
31122221020210110201010221100
42320223130333203100000
53130412223001224420
642554103405454400
72446616553642165
oct270533477432000
948836713633840
1012691041039360
1140532708a27a2
12150b737b71400
137109b5a48188
1431c36d11206c
151701ca706190
hexb8adcfe3400

12691041039360 has 132 divisors (see below), whose sum is σ = 43974126865188. Its totient is φ = 3384277598208.

The previous prime is 12691041039349. The next prime is 12691041039361. The reversal of 12691041039360 is 6393014019621.

12691041039360 is a `hidden beast` number, since 1 + 2 + 6 + 91 + 0 + 410 + 3 + 93 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1570470137856 + 11120570901504 = 1253184^2 + 3334752^2 .

It is a super-2 number, since 2×126910410393602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12691041039361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137660529 + ... + 137752688.

Almost surely, 212691041039360 is an apocalyptic number.

12691041039360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12691041039360 is an abundant number, since it is smaller than the sum of its proper divisors (31283085825828).

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

12691041039360 is a wasteful number, since it uses less digits than its factorization.

12691041039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275413248 (or 275413227 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12691041039360 in words is "twelve trillion, six hundred ninety-one billion, forty-one million, thirty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 275413217 550826434 826239651 1101652868 1377066085 1652479302 2203305736 2478718953 2754132170 3304958604 4131198255 4406611472 4957437906 5508264340 6609917208 8262396510 8813222944 9914875812 11016528680 12393594765 13219834416 16524793020 17626445888 19829751624 22033057360 24787189530 26439668832 33049586040 35252891776 39659503248 44066114720 49574379060 52879337664 66099172080 70505783552 79319006496 88132229440 99148758120 105758675328 132198344160 141011567104 158638012992 176264458880 198297516240 211517350656 264396688320 282023134208 317276025984 352528917760 396595032480 423034701312 528793376640 634552051968 705057835520 793190064960 846069402624 1057586753280 1269104103936 1410115671040 1586380129920 2115173506560 2538208207872 3172760259840 4230347013120 6345520519680 12691041039360