Search a number
-
+
21724520676253 = 116320179261143
BaseRepresentation
bin1001111000010001000100…
…10101100111101110011101
32211220211210012100202010021
410330020202111213232131
510321413304243120003
6114112035041112141
74401354605635333
oct474104225475635
984824705322107
1021724520676253
116a1635462361a
12252a436028651
13c177c8b59aa5
1455168841db53
1527a1882452bd
hex13c222567b9d

21724520676253 has 8 divisors (see below), whose sum is σ = 21753982721088. Its totient is φ = 21695077160064.

The previous prime is 21724520676233. The next prime is 21724520676289. The reversal of 21724520676253 is 35267602542712.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21724520676253 - 217 = 21724520545181 is a prime.

It is a super-2 number, since 2×217245206762532 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21724520676253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21724520676223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2284801 + ... + 6976342.

It is an arithmetic number, because the mean of its divisors is an integer number (2719247840136).

Almost surely, 221724520676253 is an apocalyptic number.

It is an amenable number.

21724520676253 is a deficient number, since it is larger than the sum of its proper divisors (29462044835).

21724520676253 is a wasteful number, since it uses less digits than its factorization.

21724520676253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264323.

The product of its (nonzero) digits is 8467200, while the sum is 52.

The spelling of 21724520676253 in words is "twenty-one trillion, seven hundred twenty-four billion, five hundred twenty million, six hundred seventy-six thousand, two hundred fifty-three".

Divisors: 1 1163 2017 2345771 9261143 10770709309 18679725431 21724520676253