Search a number
-
+
453304020641472 = 2633711132296191123
BaseRepresentation
bin110011100010001110001000…
…1001000000010011011000000
32012110000102220121011102201000
41213010130101020002123000
5433403413113241011342
64244032554153212000
7164324064132420060
oct14704342110023300
92173012817142630
10453304020641472
1112148917904a150
1242a11433401000
13165c250259a300
147dd2062c553a0
153761727b4244c
hex19c47112026c0

453304020641472 has 2688 divisors, whose sum is σ = 1865800866816000. Its totient is φ = 104673728839680.

The previous prime is 453304020641471. The next prime is 453304020641489. The reversal of 453304020641472 is 274146020403354.

453304020641472 is a `hidden beast` number, since 4 + 5 + 330 + 4 + 0 + 206 + 41 + 4 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (453304020641471) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 403654514703 + ... + 403654515825.

Almost surely, 2453304020641472 is an apocalyptic number.

453304020641472 is a gapful number since it is divisible by the number (42) 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 453304020641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932900433408000).

453304020641472 is an abundant number, since it is smaller than the sum of its proper divisors (1412496846174528).

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

453304020641472 is a wasteful number, since it uses less digits than its factorization.

453304020641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 453304020641472 in words is "four hundred fifty-three trillion, three hundred four billion, twenty million, six hundred forty-one thousand, four hundred seventy-two".