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559055290000 = 245474772
BaseRepresentation
bin10000010001010100100…
…10101011111010010000
31222110000112011021111111
420020222102223322100
533124421123240000
61104454303023104
755250624362444
oct10105222537220
91873015137444
10559055290000
111a6104155999
129042259aa94
1340945c58c5c
141d0b643c824
15e820476cba
hex822a4abe90

559055290000 has 75 divisors (see below), whose sum is σ = 1353709812477. Its totient is φ = 223592208000.

The previous prime is 559055289983. The next prime is 559055290019. The reversal of 559055290000 is 92550955.

The square root of 559055290000 is 747700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 124911351184 + 434143938816 = 353428^2 + 658896^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 74766262 + ... + 74773738.

Almost surely, 2559055290000 is an apocalyptic number.

559055290000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

559055290000 is the 747700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559055290000

559055290000 is an abundant number, since it is smaller than the sum of its proper divisors (794654522477).

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

559055290000 is an frugal number, since it uses more digits than its factorization.

559055290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14982 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 40.

The spelling of 559055290000 in words is "five hundred fifty-nine billion, fifty-five million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 7477 10000 14954 29908 37385 59816 74770 119632 149540 186925 299080 373850 598160 747700 934625 1495400 1869250 2990800 3738500 4673125 7477000 9346250 14954000 18692500 37385000 55905529 74770000 111811058 223622116 279527645 447244232 559055290 894488464 1118110580 1397638225 2236221160 2795276450 4472442320 5590552900 6988191125 11181105800 13976382250 22362211600 27952764500 34940955625 55905529000 69881911250 111811058000 139763822500 279527645000 559055290000