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52614512000 = 275311512857
BaseRepresentation
bin110001000000000100…
…011011110110000000
312000210210111010211122
4301000010123312000
51330223303341000
640100515331412
73541556654501
oct610004336600
9160723433748
1052614512000
112034a57a676
12a2445b0b68
134c6662414b
142791a6cba8
15157e190085
hexc4011bd80

52614512000 has 128 divisors (see below), whose sum is σ = 130972308480. Its totient is φ = 21020160000.

The previous prime is 52614511997. The next prime is 52614512011. The reversal of 52614512000 is 21541625.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18414572 + ... + 18417428.

It is an arithmetic number, because the mean of its divisors is an integer number (1023221160).

Almost surely, 252614512000 is an apocalyptic number.

52614512000 is a gapful number since it is divisible by the number (50) 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 52614512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65486154240).

52614512000 is an abundant number, since it is smaller than the sum of its proper divisors (78357796480).

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

52614512000 is a wasteful number, since it uses less digits than its factorization.

52614512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 52614512000 in words is "fifty-two billion, six hundred fourteen million, five hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1151 1600 2000 2302 2857 3200 4000 4604 5714 5755 8000 9208 11428 11510 14285 16000 18416 22856 23020 28570 28775 36832 45712 46040 57140 57550 71425 73664 91424 92080 114280 115100 142850 143875 147328 182848 184160 228560 230200 285700 287750 357125 365696 368320 457120 460400 571400 575500 714250 736640 914240 920800 1142800 1151000 1428500 1828480 1841600 2285600 2302000 2857000 3288407 3683200 4571200 4604000 5714000 6576814 9142400 9208000 11428000 13153628 16442035 18416000 22856000 26307256 32884070 45712000 52614512 65768140 82210175 105229024 131536280 164420350 210458048 263072560 328840700 411050875 420916096 526145120 657681400 822101750 1052290240 1315362800 1644203500 2104580480 2630725600 3288407000 5261451200 6576814000 10522902400 13153628000 26307256000 52614512000