Search a number
-
+
453511828960 = 2554397679561
BaseRepresentation
bin1101001100101110110…
…10010101010111100000
31121100121000111221021221
412212113122111113200
524412243012011320
6544201312224424
744523305641111
oct6462732252740
91540530457257
10453511828960
11165373671533
1273a8823b114
13339c5b29868
1417d43090208
15bbe47353aa
hex69976955e0

453511828960 has 96 divisors (see below), whose sum is σ = 1107642568032. Its totient is φ = 175359098880.

The previous prime is 453511828949. The next prime is 453511828963. The reversal of 453511828960 is 69828115354.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 453511828898 and 453511828907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453511828963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327580 + ... + 1007140.

It is an arithmetic number, because the mean of its divisors is an integer number (11537943417).

Almost surely, 2453511828960 is an apocalyptic number.

453511828960 is a gapful number since it is divisible by the number (40) 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 453511828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553821284016).

453511828960 is an abundant number, since it is smaller than the sum of its proper divisors (654130739072).

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

453511828960 is a wasteful number, since it uses less digits than its factorization.

453511828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679716 (or 679708 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 453511828960 in words is "four hundred fifty-three billion, five hundred eleven million, eight hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 97 160 172 194 215 344 388 430 485 688 776 860 970 1376 1552 1720 1940 3104 3440 3880 4171 6880 7760 8342 15520 16684 20855 33368 41710 66736 83420 133472 166840 333680 667360 679561 1359122 2718244 3397805 5436488 6795610 10872976 13591220 21745952 27182440 29221123 54364880 58442246 65917417 108729760 116884492 131834834 146105615 233768984 263669668 292211230 329587085 467537968 527339336 584422460 659174170 935075936 1054678672 1168844920 1318348340 2109357344 2337689840 2636696680 2834448931 4675379680 5273393360 5668897862 10546786720 11337795724 14172244655 22675591448 28344489310 45351182896 56688978620 90702365792 113377957240 226755914480 453511828960