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1468148652 = 223512292
BaseRepresentation
bin101011110000010…
…0010101110101100
310210022120200100000
41113200202232230
511001321224102
6401403304300
751245025525
oct12740425654
93708520300
101468148652
116938058a3
1234b81b090
131a521c719
14dcdb184c
1588d5701c
hex57822bac

1468148652 has 54 divisors (see below), whose sum is σ = 3851737708. Its totient is φ = 488984688.

The previous prime is 1468148609. The next prime is 1468148657. The reversal of 1468148652 is 2568418641.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1468148652 is a `hidden beast` number, since 1 + 46 + 81 + 486 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 1468148598 and 1468148607.

It is not an unprimeable number, because it can be changed into a prime (1468148657) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1193974 + ... + 1195202.

Almost surely, 21468148652 is an apocalyptic number.

1468148652 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 1468148652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925868854).

1468148652 is an abundant number, since it is smaller than the sum of its proper divisors (2383589056).

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

1468148652 is an frugal number, since it uses more digits than its factorization.

1468148652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 1234 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1468148652 is about 38316.4279650387. The cubic root of 1468148652 is about 1136.5538311104.

The spelling of 1468148652 in words is "one billion, four hundred sixty-eight million, one hundred forty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1229 2458 3687 4916 7374 11061 14748 22122 33183 44244 66366 99549 132732 199098 298647 398196 597294 1194588 1510441 3020882 4531323 6041764 9062646 13593969 18125292 27187938 40781907 54375876 81563814 122345721 163127628 244691442 367037163 489382884 734074326 1468148652