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1066916312 = 237113746811
BaseRepresentation
bin111111100101111…
…101100111011000
32202100120222000222
4333211331213120
54141112310222
6253511415212
735303432120
oct7745754730
92670528028
101066916312
114a8279020
12259384508
13140069237
14a19a9c80
15639ed542
hex3f97d9d8

1066916312 has 64 divisors (see below), whose sum is σ = 2561552640. Its totient is φ = 404438400.

The previous prime is 1066916297. The next prime is 1066916353. The reversal of 1066916312 is 2136196601.

It is a super-2 number, since 2×10669163122 = 2276620833623362688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614 + ... + 46197.

It is an arithmetic number, because the mean of its divisors is an integer number (40024260).

Almost surely, 21066916312 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 1066916312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280776320).

1066916312 is an abundant number, since it is smaller than the sum of its proper divisors (1494636328).

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

1066916312 is a wasteful number, since it uses less digits than its factorization.

1066916312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46872 (or 46868 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 1066916312 is about 32663.6849115344. The cubic root of 1066916312 is about 1021.8256142960.

The spelling of 1066916312 in words is "one billion, sixty-six million, nine hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 5698 11396 22792 46811 93622 187244 327677 374488 514921 655354 1029842 1310708 1732007 2059684 2621416 3464014 3604447 4119368 6928028 7208894 12124049 13856056 14417788 19052077 24248098 28835576 38104154 48496196 76208308 96992392 133364539 152416616 266729078 533458156 1066916312