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1450676466 = 23943857
BaseRepresentation
bin101011001110111…
…1001000011110010
310202002201000000000
41112131321003302
510432333121331
6355541010430
750643355311
oct12635710362
93662630000
101450676466
11684961778
123459b3a16
131a1712a55
14da944278
15875550e6
hex567790f2

1450676466 has 80 divisors (see below), whose sum is σ = 3343770144. Its totient is φ = 471762144.

The previous prime is 1450676459. The next prime is 1450676471. The reversal of 1450676466 is 6646760541.

1450676466 is a `hidden beast` number, since 14 + 506 + 76 + 4 + 66 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1692310 + ... + 1693166.

Almost surely, 21450676466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450676466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671885072).

1450676466 is an abundant number, since it is smaller than the sum of its proper divisors (1893093678).

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

1450676466 is an frugal number, since it uses more digits than its factorization.

1450676466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 1450676466 is about 38087.7469273256. The cubic root of 1450676466 is about 1132.0271821273.

The spelling of 1450676466 in words is "one billion, four hundred fifty million, six hundred seventy-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 729 774 857 1161 1458 1714 2187 2322 2571 3483 4374 5142 6561 6966 7713 10449 13122 15426 19683 20898 23139 31347 36851 39366 46278 62694 69417 73702 94041 110553 138834 188082 208251 221106 282123 331659 416502 564246 624753 663318 846369 994977 1249506 1692738 1874259 1989954 2984931 3748518 5622777 5969862 8954793 11245554 16868331 17909586 26864379 33736662 53728758 80593137 161186274 241779411 483558822 725338233 1450676466