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556050555500 = 225311431234571
BaseRepresentation
bin10000001011101110011…
…00100010001001101100
31222011021010012221122112
420011313030202021230
533102242420234000
61103240205103152
755113310510526
oct10056714421154
91864233187575
10556050555500
111a4902051440
128b924257ab8
13405875a774b
141ccad362a16
15e6e679a235
hex817732226c

556050555500 has 96 divisors (see below), whose sum is σ = 1327895202816. Its totient is φ = 201730200000.

The previous prime is 556050555493. The next prime is 556050555517. The reversal of 556050555500 is 5555050655.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2253215 + ... + 2487785.

It is an arithmetic number, because the mean of its divisors is an integer number (13832241696).

Almost surely, 2556050555500 is an apocalyptic number.

556050555500 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 556050555500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663947601408).

556050555500 is an abundant number, since it is smaller than the sum of its proper divisors (771844647316).

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

556050555500 is a wasteful number, since it uses less digits than its factorization.

556050555500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235032 (or 235020 counting only the distinct ones).

The product of its (nonzero) digits is 468750, while the sum is 41.

The spelling of 556050555500 in words is "five hundred fifty-six billion, fifty million, five hundred fifty-five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 431 500 550 862 1100 1375 1724 2155 2750 4310 4741 5500 8620 9482 10775 18964 21550 23705 43100 47410 53875 94820 107750 118525 215500 234571 237050 469142 474100 592625 938284 1172855 1185250 2345710 2370500 2580281 4691420 5160562 5864275 10321124 11728550 12901405 23457100 25802810 29321375 51605620 58642750 64507025 101100101 117285500 129014050 202200202 258028100 322535125 404400404 505500505 645070250 1011001010 1112101111 1290140500 2022002020 2224202222 2527502525 4448404444 5055005050 5560505555 10110010100 11121011110 12637512625 22242022220 25275025250 27802527775 50550050500 55605055550 111210111100 139012638875 278025277750 556050555500