Search a number
-
+
138709572120 = 23335718347827
BaseRepresentation
bin1000000100101110111…
…1000001101000011000
3111021000220112100111000
42001023233001220120
54233034122301440
6143420003305000
713010231623620
oct2011357015030
9437026470430
10138709572120
115390aa34619
1222a7167b160
1310107428bc2
1469dc0bd880
15391c7c2730
hex204bbc1a18

138709572120 has 128 divisors (see below), whose sum is σ = 528417446400. Its totient is φ = 31705043328.

The previous prime is 138709572109. The next prime is 138709572187. The reversal of 138709572120 is 21275907831.

138709572120 is a `hidden beast` number, since 1 + 3 + 8 + 70 + 9 + 572 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9166354 + ... + 9181473.

It is an arithmetic number, because the mean of its divisors is an integer number (4128261300).

Almost surely, 2138709572120 is an apocalyptic number.

138709572120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138709572120 is an abundant number, since it is smaller than the sum of its proper divisors (389707874280).

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

138709572120 is a wasteful number, since it uses less digits than its factorization.

138709572120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18347854 (or 18347844 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 138709572120 in words is "one hundred thirty-eight billion, seven hundred nine million, five hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 18347827 36695654 55043481 73391308 91739135 110086962 128434789 146782616 165130443 183478270 220173924 256869578 275217405 330260886 366956540 385304367 440347848 495391329 513739156 550434810 642173945 660521772 733913080 770608734 825652215 990782658 1027478312 1100869620 1155913101 1284347890 1321043544 1541217468 1651304430 1926521835 1981565316 2201739240 2311826202 2476956645 2568695780 3082434936 3302608860 3467739303 3853043670 3963130632 4623652404 4953913290 5137391560 5779565505 6605217720 6935478606 7706087340 9247304808 9907826580 11559131010 13870957212 15412174680 17338696515 19815653160 23118262020 27741914424 34677393030 46236524040 69354786060 138709572120