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1050069816 = 233229631797
BaseRepresentation
bin111110100101101…
…100101100111000
32201011220001222200
4332211230230320
54122304213231
6252110350200
735010306015
oct7645545470
92634801880
101050069816
11499811aa4
122537bb360
1313971b2b3
149d66270c
15622c1be6
hex3e96cb38

1050069816 has 96 divisors (see below), whose sum is σ = 2950365600. Its totient is φ = 336994560.

The previous prime is 1050069809. The next prime is 1050069829. The reversal of 1050069816 is 6189600501.

1050069816 is a `hidden beast` number, since 10 + 500 + 69 + 81 + 6 = 666.

It is a super-2 number, since 2×10500698162 = 2205293236948547712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1317130 + ... + 1317926.

It is an arithmetic number, because the mean of its divisors is an integer number (30732975).

Almost surely, 21050069816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050069816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475182800).

1050069816 is an abundant number, since it is smaller than the sum of its proper divisors (1900295784).

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

1050069816 is a wasteful number, since it uses less digits than its factorization.

1050069816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1050069816 is about 32404.7807584004. The cubic root of 1050069816 is about 1016.4188835308.

The spelling of 1050069816 in words is "one billion, fifty million, sixty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 631 696 797 1044 1262 1594 1893 2088 2391 2524 3188 3786 4782 5048 5679 6376 7173 7572 9564 11358 14346 15144 18299 19128 22716 23113 28692 36598 45432 46226 54897 57384 69339 73196 92452 109794 138678 146392 164691 184904 208017 219588 277356 329382 416034 439176 502907 554712 658764 832068 1005814 1317528 1508721 1664136 2011628 3017442 4023256 4526163 6034884 9052326 12069768 14584303 18104652 29168606 36209304 43752909 58337212 87505818 116674424 131258727 175011636 262517454 350023272 525034908 1050069816