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1661366112 = 25373078053
BaseRepresentation
bin110001100000110…
…0110111101100000
311021210011010212020
41203001212331200
511400302203422
6432504501440
756112243660
oct14301467540
94253133766
101661366112
11782885a4a
123a447a880
13206270793
1411a90a1a0
159acc195c
hex63066f60

1661366112 has 96 divisors (see below), whose sum is σ = 5000954112. Its totient is φ = 473071104.

The previous prime is 1661366111. The next prime is 1661366141. The reversal of 1661366112 is 2116631661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661366111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202278 + ... + 210330.

It is an arithmetic number, because the mean of its divisors is an integer number (52093272).

Almost surely, 21661366112 is an apocalyptic number.

1661366112 is a gapful number since it is divisible by the number (12) 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 1661366112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500477056).

1661366112 is an abundant number, since it is smaller than the sum of its proper divisors (3339588000).

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

1661366112 is a wasteful number, since it uses less digits than its factorization.

1661366112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8380 (or 8372 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 1661366112 is about 40759.8590772834. The cubic root of 1661366112 is about 1184.3728661899.

Adding to 1661366112 its reverse (2116631661), we get a palindrome (3777997773).

The spelling of 1661366112 in words is "one billion, six hundred sixty-one million, three hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 307 336 614 672 921 1228 1842 2149 2456 3684 4298 4912 6447 7368 8053 8596 9824 12894 14736 16106 17192 24159 25788 29472 32212 34384 48318 51576 56371 64424 68768 96636 103152 112742 128848 169113 193272 206304 225484 257696 338226 386544 450968 676452 773088 901936 1352904 1803872 2472271 2705808 4944542 5411616 7416813 9889084 14833626 17305897 19778168 29667252 34611794 39556336 51917691 59334504 69223588 79112672 103835382 118669008 138447176 207670764 237338016 276894352 415341528 553788704 830683056 1661366112