Search a number
-
+
453405504354 = 231123571523093
BaseRepresentation
bin1101001100100010001…
…00101111001101100010
31121100022121110002100120
412212101010233031202
524412033302114404
6544142553301110
744520545124615
oct6462104571542
91540277402316
10453405504354
11165319650260
1273a58704796
13339a9ab03aa
1417d32cd417c
15bbda2319d9
hex699112f362

453405504354 has 64 divisors (see below), whose sum is σ = 1034068958208. Its totient is φ = 131191473600.

The previous prime is 453405504353. The next prime is 453405504359.

453405504354 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4534055043542 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (453405504353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605232 + ... + 1128324.

It is an arithmetic number, because the mean of its divisors is an integer number (16157327472).

Almost surely, 2453405504354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453405504354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517034479104).

453405504354 is an abundant number, since it is smaller than the sum of its proper divisors (580663453854).

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

453405504354 is a wasteful number, since it uses less digits than its factorization.

453405504354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523703.

The product of its (nonzero) digits is 1440000, while the sum is 42.

It can be divided in two parts, 453405 and 504354, that added together give a palindrome (957759).

The spelling of 453405504354 in words is "four hundred fifty-three billion, four hundred five million, five hundred four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 571 759 1142 1518 1713 3426 6281 12562 13133 18843 26266 37686 39399 78798 144463 288926 433389 523093 866778 1046186 1569279 3138558 5754023 11508046 12031139 17262069 24062278 34524138 36093417 72186834 132342529 264685058 298686103 397027587 597372206 794055174 896058309 1792116618 3285547133 6571094266 6869780369 9856641399 13739560738 19713282798 20609341107 41218682214 75567584059 151135168118 226702752177 453405504354