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23083593120 = 2532572290039
BaseRepresentation
bin10101011111111000…
…111010110110100000
32012120201212000210100
4111133320322312200
5334233344434440
614334321302400
71445014206210
oct253770726640
965521760710
1023083593120
1198760a5195
124582794a00
13223b4a9b53
14118da4c240
15901823230
hex55fe3ada0

23083593120 has 144 divisors (see below), whose sum is σ = 90026052480. Its totient is φ = 5276247552.

The previous prime is 23083593077. The next prime is 23083593131. The reversal of 23083593120 is 2139538032.

23083593120 is a `hidden beast` number, since 2 + 308 + 35 + 9 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×230835931202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134940 + ... + 1155099.

It is an arithmetic number, because the mean of its divisors is an integer number (625180920).

Almost surely, 223083593120 is an apocalyptic number.

23083593120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23083593120 is an abundant number, since it is smaller than the sum of its proper divisors (66942459360).

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

23083593120 is a wasteful number, since it uses less digits than its factorization.

23083593120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290067 (or 2290056 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23083593120 in words is "twenty-three billion, eighty-three million, five hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 2290039 4580078 6870117 9160156 11450195 13740234 16030273 18320312 20610351 22900390 27480468 32060546 34350585 36640624 41220702 45800780 48090819 54960936 64121092 68701170 73281248 80151365 82441404 91601560 96181638 103051755 109921872 128242184 137402340 144272457 160302730 164882808 183203120 192363276 206103510 219843744 240454095 256484368 274804680 288544914 320605460 329765616 366406240 384726552 412207020 480908190 512968736 549609360 577089828 641210920 659531232 721362285 769453104 824414040 961816380 1099218720 1154179656 1282421840 1442724570 1538906208 1648828080 1923632760 2308359312 2564843680 2885449140 3297656160 3847265520 4616718624 5770898280 7694531040 11541796560 23083593120