Search a number
-
+
453061952703504 = 2434313218892
BaseRepresentation
bin110011100000011101011010…
…0110000001000110000010000
32012102011022002110122002010000
41213000322310300020300100
5433340431334343003004
64243325442053210000
7164300434354042434
oct14700726460106020
92172138073562100
10453061952703504
111213a554a000571
1242992537330900
13165a5735955461
147dc445baa49c4
15375a2ab3a3c39
hex19c0eb4c08c10

453061952703504 has 225 divisors, whose sum is σ = 1316192319971463. Its totient is φ = 150458464825344.

The previous prime is 453061952703487. The next prime is 453061952703517. The reversal of 453061952703504 is 405307259160354.

The square root of 453061952703504 is 21285252.

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

453061952703504 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 6 + 19 + 5 + 270 + 350 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 198686503184400 + 254375449519104 = 14095620^2 + 15949152^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 239842218592 + ... + 239842220480.

Almost surely, 2453061952703504 is an apocalyptic number.

453061952703504 is the 21285252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453061952703504

453061952703504 is an abundant number, since it is smaller than the sum of its proper divisors (863130367267959).

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

453061952703504 is an frugal number, since it uses more digits than its factorization.

453061952703504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 453061952703504 in words is "four hundred fifty-three trillion, sixty-one billion, nine hundred fifty-two million, seven hundred three thousand, five hundred four".