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5122145442400 = 25527914668829
BaseRepresentation
bin100101010001001011110…
…1010001101101001100000
3200010200011010022111121021
41022202113222031221200
51132410123213124100
614521025305135224
71036030352614510
oct112422752155140
920120133274537
105122145442400
1116a5320628278
126a885818a514
132b20298ba27c
14139cada07840
158d38ac18a1a
hex4a897a8da60

5122145442400 has 72 divisors (see below), whose sum is σ = 14290785799920. Its totient is φ = 1756164149760.

The previous prime is 5122145442397. The next prime is 5122145442409. The reversal of 5122145442400 is 42445412215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5122145442409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 457328815 + ... + 457340014.

It is an arithmetic number, because the mean of its divisors is an integer number (198483136110).

Almost surely, 25122145442400 is an apocalyptic number.

5122145442400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5122145442400 is an abundant number, since it is smaller than the sum of its proper divisors (9168640357520).

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

5122145442400 is a wasteful number, since it uses less digits than its factorization.

5122145442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914668856 (or 914668843 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The spelling of 5122145442400 in words is "five trillion, one hundred twenty-two billion, one hundred forty-five million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 914668829 1829337658 3658675316 4573344145 6402681803 7317350632 9146688290 12805363606 14634701264 18293376580 22866720725 25610727212 29269402528 32013409015 36586753160 45733441450 51221454424 64026818030 73173506320 91466882900 102442908848 128053636060 146347012640 160067045075 182933765800 204885817696 256107272120 320134090150 365867531600 512214544240 640268180300 731735063200 1024429088480 1280536360600 2561072721200 5122145442400