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538342146720 = 25325753406959
BaseRepresentation
bin1111101010101111011…
…00010100001010100000
31220110112222201120120200
413311113230110022200
532310011042143340
61051151100305200
753615422513560
oct7652754241240
91813488646520
10538342146720
1119834511a864
1288401842200
133b9c48bc761
141c0ad55ada0
15e00bcde330
hex7d57b142a0

538342146720 has 144 divisors (see below), whose sum is σ = 2099534411520. Its totient is φ = 123049631232.

The previous prime is 538342146691. The next prime is 538342146733. The reversal of 538342146720 is 27641243835.

538342146720 is a `hidden beast` number, since 53 + 83 + 42 + 1 + 467 + 20 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26693400 + ... + 26713559.

It is an arithmetic number, because the mean of its divisors is an integer number (14580100080).

Almost surely, 2538342146720 is an apocalyptic number.

It is an amenable number.

538342146720 is an abundant number, since it is smaller than the sum of its proper divisors (1561192264800).

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

538342146720 is a wasteful number, since it uses less digits than its factorization.

538342146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53406987 (or 53406976 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 538342146720 in words is "five hundred thirty-eight billion, three hundred forty-two million, one hundred forty-six thousand, seven 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 53406959 106813918 160220877 213627836 267034795 320441754 373848713 427255672 480662631 534069590 640883508 747697426 801104385 854511344 961325262 1068139180 1121546139 1281767016 1495394852 1602208770 1709022688 1869243565 1922650524 2136278360 2243092278 2403313155 2563534032 2990789704 3204417540 3364638417 3738487130 3845301048 4272556720 4486184556 4806626310 5127068064 5607730695 5981579408 6408835080 6729276834 7476974260 7690602096 8545113440 8972369112 9613252620 11215461390 11963158816 12817670160 13458553668 14953948520 15381204192 16823192085 17944738224 19226505240 22430922780 25635340320 26917107336 29907897040 33646384170 35889476448 38453010480 44861845560 53834214672 59815794080 67292768340 76906020960 89723691120 107668429344 134585536680 179447382240 269171073360 538342146720