Search a number
-
+
53453067264 = 2103329163409
BaseRepresentation
bin110001110010000011…
…010001010000000000
312002222020101011102000
4301302003101100000
51333432441123024
640320032424000
73601421401152
oct616203212000
9162866334360
1053453067264
112073a954653
12a4393a8000
13506b2860ac
142831192ad2
1515ccad0cc9
hexc720d1400

53453067264 has 352 divisors, whose sum is σ = 165168336000. Its totient is φ = 17055940608.

The previous prime is 53453067263. The next prime is 53453067271. The reversal of 53453067264 is 46276035435.

53453067264 is a `hidden beast` number, since 5 + 34 + 530 + 67 + 26 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53453067263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130691892 + ... + 130692300.

Almost surely, 253453067264 is an apocalyptic number.

53453067264 is a gapful number since it is divisible by the number (54) 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 53453067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82584168000).

53453067264 is an abundant number, since it is smaller than the sum of its proper divisors (111715268736).

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

53453067264 is a wasteful number, since it uses less digits than its factorization.

53453067264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 53453067264 in words is "fifty-three billion, four hundred fifty-three million, sixty-seven thousand, two hundred sixty-four".