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12144872238510 = 23511313732086001
BaseRepresentation
bin1011000010111011001011…
…0010111010110110101110
31121000001001000202100021210
42300232302302322312232
53042440144243113020
641455135520535250
72362303153510554
oct260566262726656
947001030670253
1012144872238510
11396267a842940
121441911181526
136a13447c983b
142ddb5a331bd4
15160db175d3e0
hexb0bb2cbadae

12144872238510 has 128 divisors (see below), whose sum is σ = 33710323765248. Its totient is φ = 2772230400000.

The previous prime is 12144872238497. The next prime is 12144872238517. The reversal of 12144872238510 is 1583227844121.

It is a self number, because there is not a number n which added to its sum of digits gives 12144872238510.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144872238517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15664491 + ... + 16421510.

It is an arithmetic number, because the mean of its divisors is an integer number (263361904416).

Almost surely, 212144872238510 is an apocalyptic number.

12144872238510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12144872238510 is an abundant number, since it is smaller than the sum of its proper divisors (21565451526738).

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

12144872238510 is a wasteful number, since it uses less digits than its factorization.

12144872238510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32086090.

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 12144872238510 in words is "twelve trillion, one hundred forty-four billion, eight hundred seventy-two million, two hundred thirty-eight thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 37 55 62 66 74 93 110 111 155 165 185 186 222 310 330 341 370 407 465 555 682 814 930 1023 1110 1147 1221 1705 2035 2046 2294 2442 3410 3441 4070 5115 5735 6105 6882 10230 11470 12210 12617 17205 25234 34410 37851 63085 75702 126170 189255 378510 32086001 64172002 96258003 160430005 192516006 320860010 352946011 481290015 705892022 962580030 994666031 1058838033 1187182037 1764730055 1989332062 2117676066 2374364074 2983998093 3529460110 3561546111 4973330155 5294190165 5935910185 5967996186 7123092222 9946660310 10588380330 10941326341 11871820370 13059002407 14919990465 17807730555 21882652682 26118004814 29839980930 32823979023 35615461110 36802643147 39177007221 54706631705 65295012035 65647958046 73605286294 78354014442 109413263410 110407929441 130590024070 164119895115 184013215735 195885036105 220815858882 328239790230 368026431470 391770072210 404829074617 552039647205 809658149234 1104079294410 1214487223851 2024145373085 2428974447702 4048290746170 6072436119255 12144872238510