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12783147840 = 26345493177
BaseRepresentation
bin10111110011110111…
…10101101101000000
31012222212202012020000
423321323311231000
5202134441212330
65512243120000
7631530651411
oct137173655500
935885665200
1012783147840
11546a8321a1
122589073000
131289497008
14893a3b808
154ec3b9560
hex2f9ef5b40

12783147840 has 140 divisors (see below), whose sum is σ = 45471997956. Its totient is φ = 3408832512.

The previous prime is 12783147827. The next prime is 12783147847. The reversal of 12783147840 is 4874138721.

It can be written as a sum of positive squares in 2 ways, for example, as 2418278976 + 10364868864 = 49176^2 + 101808^2 .

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 (12783147847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 220669 + ... + 272508.

Almost surely, 212783147840 is an apocalyptic number.

12783147840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12783147840 is an abundant number, since it is smaller than the sum of its proper divisors (32688850116).

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

12783147840 is an equidigital number, since it uses as much as digits as its factorization.

12783147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493206 (or 493187 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12783147840 in words is "twelve billion, seven hundred eighty-three million, one hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 493177 986354 1479531 1972708 2465885 2959062 3945416 4438593 4931770 5918124 7397655 7890832 8877186 9863540 11836248 13315779 14795310 15781664 17754372 19727080 22192965 23672496 26631558 29590620 31563328 35508744 39454160 39947337 44385930 47344992 53263116 59181240 66578895 71017488 78908320 79894674 88771860 94689984 106526232 118362480 133157790 142034976 157816640 159789348 177543720 199736685 213052464 236724960 266315580 284069952 319578696 355087440 399473370 426104928 473449920 532631160 639157392 710174880 798946740 852209856 1065262320 1278314784 1420349760 1597893480 2130524640 2556629568 3195786960 4261049280 6391573920 12783147840