Search a number
-
+
450491988969 = 32114434
BaseRepresentation
bin1101000111000110110…
…10100011101111101001
31121001210120011011121100
412203203122203233221
524340101422121334
6542541514432013
744355416503641
oct6434332435751
91531716134540
10450491988969
11164063a90000
1273384a32609
13336342b99a9
1417b37da1521
15bab9572c99
hex68e36a3be9

450491988969 has 75 divisors (see below), whose sum is σ = 732819582365. Its totient is φ = 266676018840.

The previous prime is 450491988959. The next prime is 450491989061. The reversal of 450491988969 is 969889194054.

The square root of 450491988969 is 671187.

It is a perfect power (a square), and thus also a powerful number.

450491988969 is a `hidden beast` number, since 4 + 50 + 491 + 9 + 8 + 89 + 6 + 9 = 666.

It is not a de Polignac number, because 450491988969 - 217 = 450491857897 is a prime.

It is a super-2 number, since 2×4504919889692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 450491988897 and 450491988906.

It is not an unprimeable number, because it can be changed into a prime (450491988929) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 10476557862 + ... + 10476557904.

Almost surely, 2450491988969 is an apocalyptic number.

450491988969 is the 671187-th square number.

450491988969 is the 335594-th centered octagonal number.

It is an amenable number.

450491988969 is a deficient number, since it is larger than the sum of its proper divisors (282327593396).

450491988969 is an frugal number, since it uses more digits than its factorization.

450491988969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 450491988969 in words is "four hundred fifty billion, four hundred ninety-one million, nine hundred eighty-eight thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 33 43 99 121 129 363 387 473 1089 1331 1419 1849 3993 4257 5203 5547 11979 14641 15609 16641 20339 43923 46827 57233 61017 79507 131769 171699 183051 223729 238521 515097 629563 671187 715563 874577 1888689 2013561 2461019 2623731 3418801 5666067 7383057 7871193 9620347 10256403 22149171 27071209 28861041 30769209 37606811 81213627 86583123 105823817 112820433 243640881 317471451 338461299 413674921 952414353 1164061987 1241024763 3492185961 3723074289 4550424131 10476557883 13651272393 40953817179 50054665441 150163996323 450491988969