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1466989056 = 293513907
BaseRepresentation
bin101011101110000…
…0111101000000000
310210020101202200000
41113130013220000
511001022122211
6401322400000
751232126011
oct12734075000
93706352600
101466989056
11693093655
1234b360000
131a4c04980
14dcb8d008
1588bc8656
hex57707a00

1466989056 has 240 divisors, whose sum is σ = 4733592864. Its totient is φ = 450883584.

The previous prime is 1466989049. The next prime is 1466989087. The reversal of 1466989056 is 6509896641.

It is a happy number.

1466989056 is a `hidden beast` number, since 1 + 466 + 98 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×14669890562 = 4304113780847542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1466988993 and 1466989011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1616955 + ... + 1617861.

Almost surely, 21466989056 is an apocalyptic number.

1466989056 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 1466989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366796432).

1466989056 is an abundant number, since it is smaller than the sum of its proper divisors (3266603808).

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

1466989056 is an frugal number, since it uses more digits than its factorization.

1466989056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 1466989056 is about 38301.2931374386. The cubic root of 1466989056 is about 1136.2545220877.

The spelling of 1466989056 in words is "one billion, four hundred sixty-six million, nine hundred eighty-nine thousand, fifty-six".