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12906691000 = 235378920717
BaseRepresentation
bin11000000010100110…
…00111100110111000
31020022111012211120121
430001103013212320
5202413103103000
65532415103024
7634561030510
oct140123074670
936274184517
1012906691000
115523543a85
122602511a74
1312a8c61888
148a61da840
1550816eb1a
hex3014c79b8

12906691000 has 128 divisors (see below), whose sum is σ = 34905686400. Its totient is φ = 4375219200.

The previous prime is 12906690959. The next prime is 12906691027. The reversal of 12906691000 is 19660921.

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, 612642 + ... + 633358.

It is an arithmetic number, because the mean of its divisors is an integer number (272700675).

Almost surely, 212906691000 is an apocalyptic number.

12906691000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12906691000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452843200).

12906691000 is an abundant number, since it is smaller than the sum of its proper divisors (21998995400).

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

12906691000 is a wasteful number, since it uses less digits than its factorization.

12906691000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20834 (or 20820 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 12906691000 in words is "twelve billion, nine hundred six million, six hundred ninety-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 89 100 125 140 175 178 200 250 280 350 356 445 500 623 700 712 875 890 1000 1246 1400 1750 1780 2225 2492 3115 3500 3560 4450 4984 6230 7000 8900 11125 12460 15575 17800 20717 22250 24920 31150 41434 44500 62300 77875 82868 89000 103585 124600 145019 155750 165736 207170 290038 311500 414340 517925 580076 623000 725095 828680 1035850 1160152 1450190 1843813 2071700 2589625 2900380 3625475 3687626 4143400 5179250 5800760 7250950 7375252 9219065 10358500 12906691 14501900 14750504 18127375 18438130 20717000 25813382 29003800 36254750 36876260 46095325 51626764 64533455 72509500 73752520 92190650 103253528 129066910 145019000 184381300 230476625 258133820 322667275 368762600 460953250 516267640 645334550 921906500 1290669100 1613336375 1843813000 2581338200 3226672750 6453345500 12906691000