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1067121506550 = 2352116011076107
BaseRepresentation
bin11111000011101010110…
…01011111100011110110
310210000102112101020200010
433201311121133203312
5114440431101202200
62134121233201050
7140045160100341
oct17416531374366
93700375336603
101067121506550
113816222a8260
12152994a00186
1379824262518
1439912a45458
151cb592d5150
hexf87565f8f6

1067121506550 has 96 divisors (see below), whose sum is σ = 2891855159424. Its totient is φ = 258265440000.

The previous prime is 1067121506531. The next prime is 1067121506573. The reversal of 1067121506550 is 556051217601.

It is a happy number.

It is a super-2 number, since 2×10671215065502 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1067121506499 and 1067121506508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453597 + ... + 1529703.

It is an arithmetic number, because the mean of its divisors is an integer number (30123491244).

Almost surely, 21067121506550 is an apocalyptic number.

1067121506550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067121506550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445927579712).

1067121506550 is an abundant number, since it is smaller than the sum of its proper divisors (1824733652874).

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

1067121506550 is a wasteful number, since it uses less digits than its factorization.

1067121506550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076734 (or 1076729 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 1067121506550 in words is "one trillion, sixty-seven billion, one hundred twenty-one million, five hundred six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 601 825 1202 1650 1803 3005 3606 6010 6611 9015 13222 15025 18030 19833 30050 33055 39666 45075 66110 90150 99165 165275 198330 330550 495825 991650 1076107 2152214 3228321 5380535 6456642 10761070 11837177 16141605 23674354 26902675 32283210 35511531 53805350 59185885 71023062 80708025 118371770 161416050 177557655 295929425 355115310 591858850 646740307 887788275 1293480614 1775576550 1940220921 3233701535 3880441842 6467403070 7114143377 9701104605 14228286754 16168507675 19402209210 21342430131 32337015350 35570716885 42684860262 48505523025 71141433770 97011046050 106712150655 177853584425 213424301310 355707168850 533560753275 1067121506550