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550555561000 = 23536173123637
BaseRepresentation
bin10000000001011111010…
…10110010110000101000
31221122002011102022021201
420000233222302300220
533010014210423000
61100531032213544
754530165024434
oct10005752626050
91848064368251
10550555561000
111a2542296775
128a84bb3a2b4
133cbc0027203
141c90b64d9c4
15e4c416896a
hex802fab2c28

550555561000 has 128 divisors (see below), whose sum is σ = 1327367676960. Its totient is φ = 213643008000.

The previous prime is 550555560983. The next prime is 550555561001. The reversal of 550555561000 is 165555055.

It can be written as a sum of positive squares in 16 ways, for example, as 251724965284 + 298830595716 = 501722^2 + 546654^2 .

It is a super-2 number, since 2×5505555610002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (550555561001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4391182 + ... + 4514818.

Almost surely, 2550555561000 is an apocalyptic number.

550555561000 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 550555561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663683838480).

550555561000 is an abundant number, since it is smaller than the sum of its proper divisors (776812115960).

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

550555561000 is a wasteful number, since it uses less digits than its factorization.

550555561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123792 (or 123778 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 37.

The spelling of 550555561000 in words is "five hundred fifty billion, five hundred fifty-five million, five hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 73 100 122 125 146 200 244 250 292 305 365 488 500 584 610 730 1000 1220 1460 1525 1825 2440 2920 3050 3650 4453 6100 7300 7625 8906 9125 12200 14600 15250 17812 18250 22265 30500 35624 36500 44530 61000 73000 89060 111325 123637 178120 222650 247274 445300 494548 556625 618185 890600 989096 1113250 1236370 2226500 2472740 3090925 4453000 4945480 6181850 7541857 9025501 12363700 15083714 15454625 18051002 24727400 30167428 30909250 36102004 37709285 45127505 60334856 61818500 72204008 75418570 90255010 123637000 150837140 180510020 188546425 225637525 301674280 361020040 377092850 451275050 550555561 754185700 902550100 942732125 1101111122 1128187625 1508371400 1805100200 1885464250 2202222244 2256375250 2752777805 3770928500 4404444488 4512750500 5505555610 7541857000 9025501000 11011111220 13763889025 22022222440 27527778050 55055556100 68819445125 110111112200 137638890250 275277780500 550555561000