Search a number
-
+
12117747240 = 2332556835923
BaseRepresentation
bin10110100100100011…
…00010011000101000
31011021111200100012100
423102101202120220
5144304120402430
65322233213400
7606201103104
oct132221423050
934244610170
1012117747240
115159174945
122422261260
1311b1680251
1482d50c904
154adc7d960
hex2d2462628

12117747240 has 96 divisors (see below), whose sum is σ = 39396258720. Its totient is φ = 3230285184.

The previous prime is 12117747209. The next prime is 12117747277. The reversal of 12117747240 is 4274771121.

It is a happy number.

12117747240 is a `hidden beast` number, since 12 + 1 + 177 + 472 + 4 + 0 = 666.

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 = 12117747195 and 12117747204.

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, 2042919 + ... + 2048841.

It is an arithmetic number, because the mean of its divisors is an integer number (410377695).

Almost surely, 212117747240 is an apocalyptic number.

12117747240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12117747240 is an abundant number, since it is smaller than the sum of its proper divisors (27278511480).

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

12117747240 is a wasteful number, since it uses less digits than its factorization.

12117747240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11623 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 12117747240 in words is "twelve billion, one hundred seventeen million, seven hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5683 5923 11366 11846 17049 17769 22732 23692 28415 29615 34098 35538 45464 47384 51147 53307 56830 59230 68196 71076 85245 88845 102294 106614 113660 118460 136392 142152 170490 177690 204588 213228 227320 236920 255735 266535 340980 355380 409176 426456 511470 533070 681960 710760 1022940 1066140 2045880 2132280 33660409 67320818 100981227 134641636 168302045 201962454 269283272 302943681 336604090 403924908 504906135 605887362 673208180 807849816 1009812270 1211774724 1346416360 1514718405 2019624540 2423549448 3029436810 4039249080 6058873620 12117747240