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75217100000 = 25557107453
BaseRepresentation
bin100011000001101001…
…0011101110011100000
321012011000020120122112
41012003102131303200
52213021034200000
654315415254452
75301643541510
oct1060322356340
9235130216575
1075217100000
1129999101569
12126b207a428
137129269983
1438d786b840
151e5364d235
hex118349dce0

75217100000 has 144 divisors (see below), whose sum is σ = 211536523296. Its totient is φ = 25788480000.

The previous prime is 75217099949. The next prime is 75217100027. The reversal of 75217100000 is 171257.

It is a happy number.

It is a super-2 number, since 2×752171000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 646274 + ... + 753726.

It is an arithmetic number, because the mean of its divisors is an integer number (1469003634).

Almost surely, 275217100000 is an apocalyptic number.

75217100000 is a gapful number since it is divisible by the number (70) 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 75217100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105768261648).

75217100000 is an abundant number, since it is smaller than the sum of its proper divisors (136319423296).

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

75217100000 is an equidigital number, since it uses as much as digits as its factorization.

75217100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107495 (or 107467 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

Adding to 75217100000 its reverse (171257), we get a palindrome (75217271257).

The spelling of 75217100000 in words is "seventy-five billion, two hundred seventeen million, one hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 107453 140000 175000 214906 350000 429812 537265 700000 752171 859624 1074530 1504342 1719248 2149060 2686325 3008684 3438496 3760855 4298120 5372650 6017368 7521710 8596240 10745300 12034736 13431625 15043420 17192480 18804275 21490600 24069472 26863250 30086840 37608550 42981200 53726500 60173680 67158125 75217100 85962400 94021375 107453000 120347360 134316250 150434200 188042750 214906000 268632500 300868400 335790625 376085500 429812000 470106875 537265000 601736800 671581250 752171000 940213750 1074530000 1343162500 1504342000 1880427500 2149060000 2350534375 2686325000 3008684000 3760855000 4701068750 5372650000 7521710000 9402137500 10745300000 15043420000 18804275000 37608550000 75217100000