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1149974016 = 2933124151
BaseRepresentation
bin100010010001011…
…0011011000000000
32222010212201210020
41010202303120000
54323343132031
6310035533440
740332421632
oct10442633000
92863781706
101149974016
11540148554
1228115a280
1315432a2c9
14aca2aa52
156ae58096
hex448b3600

1149974016 has 80 divisors (see below), whose sum is σ = 3162559488. Its totient is φ = 370944000.

The previous prime is 1149974011. The next prime is 1149974017. The reversal of 1149974016 is 6104799411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149974011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35541 + ... + 59691.

Almost surely, 21149974016 is an apocalyptic number.

1149974016 is a gapful number since it is divisible by the number (16) 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 1149974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581279744).

1149974016 is an abundant number, since it is smaller than the sum of its proper divisors (2012585472).

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

1149974016 is an equidigital number, since it uses as much as digits as its factorization.

1149974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24203 (or 24187 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1149974016 is about 33911.2668002834. The cubic root of 1149974016 is about 1047.6816623397.

The spelling of 1149974016 in words is "one billion, one hundred forty-nine million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 11904 15872 23808 24151 47616 48302 72453 96604 144906 193208 289812 386416 579624 748681 772832 1159248 1497362 1545664 2246043 2318496 2994724 3091328 4492086 4636992 5989448 6182656 8984172 9273984 11978896 12365312 17968344 18547968 23957792 35936688 37095936 47915584 71873376 95831168 143746752 191662336 287493504 383324672 574987008 1149974016