Search a number
-
+
1066005551016 = 233272972934151
BaseRepresentation
bin11111000001100101110…
…00011101011110101000
310202220112202111211110200
433200302320131132220
5114431134410113031
62133414410312200
7140005416451560
oct17406270353650
93686482454420
101066005551016
113810aa38535a
12152723128660
13796a6cb62c3
1439848751da0
151cae134b8e6
hexf832e1d7a8

1066005551016 has 96 divisors (see below), whose sum is σ = 3413318313600. Its totient is φ = 294070492800.

The previous prime is 1066005551003. The next prime is 1066005551027. The reversal of 1066005551016 is 6101555006601.

It is a super-3 number, since 3×10660055510163 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36452460 + ... + 36481691.

It is an arithmetic number, because the mean of its divisors is an integer number (35555399100).

Almost surely, 21066005551016 is an apocalyptic number.

It is an amenable number.

1066005551016 is an abundant number, since it is smaller than the sum of its proper divisors (2347312762584).

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

1066005551016 is a wasteful number, since it uses less digits than its factorization.

1066005551016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72934199 (or 72934192 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1066005551016 in words is "one trillion, sixty-six billion, five million, five hundred fifty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 14616 72934151 145868302 218802453 291736604 437604906 510539057 583473208 656407359 875209812 1021078114 1312814718 1531617171 1750419624 2042156228 2115090379 2625629436 3063234342 4084312456 4230180758 4594851513 5251258872 6126468684 6345271137 8460361516 9189703026 12252937368 12690542274 14805632653 16920723032 18379406052 19035813411 25381084548 29611265306 36758812104 38071626822 44416897959 50762169096 59222530612 76143253644 88833795918 118445061224 133250693877 152286507288 177667591836 266501387754 355335183672 533002775508 1066005551016