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5123525224000 = 26533891646377
BaseRepresentation
bin100101010001110100111…
…1001101010011001000000
3200010210201021121200010111
41022203221321222121000
51132420434424132000
614521414234441104
71036106505561421
oct112435171523100
920123637550114
105123525224000
1116a5969467647
126a8b82293194
132b21b970a0a1
14139da0d75648
158d41be17cba
hex4a8e9e6a640

5123525224000 has 112 divisors (see below), whose sum is σ = 12721035965040. Its totient is φ = 2044140441600.

The previous prime is 5123525223997. The next prime is 5123525224031. The reversal of 5123525224000 is 4225253215.

It can be written as a sum of positive squares in 8 ways, for example, as 3282445309504 + 1841079914496 = 1811752^2 + 1356864^2 .

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 15 ways as a sum of consecutive naturals, for example, 2288812 + ... + 3935188.

Almost surely, 25123525224000 is an apocalyptic number.

5123525224000 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 5123525224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360517982520).

5123525224000 is an abundant number, since it is smaller than the sum of its proper divisors (7597510741040).

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

5123525224000 is a wasteful number, since it uses less digits than its factorization.

5123525224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646793 (or 1646773 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 5123525224000 in words is "five trillion, one hundred twenty-three billion, five hundred twenty-five million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 389 400 500 778 800 1000 1556 1600 1945 2000 3112 3890 4000 6224 7780 8000 9725 12448 15560 19450 24896 31120 38900 48625 62240 77800 97250 124480 155600 194500 311200 389000 622400 778000 1556000 1646377 3112000 3292754 6585508 8231885 13171016 16463770 26342032 32927540 41159425 52684064 65855080 82318850 105368128 131710160 164637700 205797125 263420320 329275400 411594250 526840640 640440653 658550800 823188500 1280881306 1317101600 1646377000 2561762612 2634203200 3202203265 3292754000 5123525224 6404406530 6585508000 10247050448 12808813060 13171016000 16011016325 20494100896 25617626120 32022032650 40988201792 51235252240 64044065300 80055081625 102470504480 128088130600 160110163250 204941008960 256176261200 320220326500 512352522400 640440653000 1024705044800 1280881306000 2561762612000 5123525224000