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5560001010500 = 225340937617229
BaseRepresentation
bin101000011101000100111…
…1000101001101101000100
3201200112100000210222112212
41100322021320221231010
51212043340224314000
615454121301402552
71112461002545336
oct120721170515504
921615300728485
105560001010500
111853a8a692242
12759695109458
133143c8c34141
14153169643456
1599965c06c35
hex50e89e29b44

5560001010500 has 96 divisors (see below), whose sum is σ = 12177652687200. Its totient is φ = 2217666048000.

The previous prime is 5560001010481. The next prime is 5560001010521. The reversal of 5560001010500 is 50101000655.

It can be written as a sum of positive squares in 16 ways, for example, as 893372793856 + 4666628216644 = 945184^2 + 2160238^2 .

It is a super-2 number, since 2×55600010105002 (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 769120886 + ... + 769128114.

It is an arithmetic number, because the mean of its divisors is an integer number (126850548825).

Almost surely, 25560001010500 is an apocalyptic number.

5560001010500 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 5560001010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088826343600).

5560001010500 is an abundant number, since it is smaller than the sum of its proper divisors (6617651676700).

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

5560001010500 is a wasteful number, since it uses less digits than its factorization.

5560001010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11406 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 5560001010500 in words is "five trillion, five hundred sixty billion, one million, ten thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 409 500 818 1636 2045 3761 4090 7229 7522 8180 10225 14458 15044 18805 20450 28916 36145 37610 40900 51125 72290 75220 94025 102250 144580 180725 188050 204500 361450 376100 470125 722900 903625 940250 1538249 1807250 1880500 2956661 3076498 3614500 5913322 6152996 7691245 11826644 14783305 15382490 27188269 29566610 30764980 38456225 54376538 59133220 73916525 76912450 108753076 135941345 147833050 153824900 192281125 271882690 295666100 369582625 384562250 543765380 679706725 739165250 769124500 1359413450 1478330500 2718826900 3398533625 6797067250 11120002021 13594134500 22240004042 44480008084 55600010105 111200020210 222400040420 278000050525 556000101050 1112000202100 1390000252625 2780000505250 5560001010500