Search a number
-
+
493144939452 = 223113234331219
BaseRepresentation
bin1110010110100011011…
…10101001101110111100
31202010220010012120000010
413023101232221232330
531034430101030302
61014314143303220
750425406552154
oct7132156515674
91663803176003
10493144939452
1118016150a000
127b6a92aab10
1337670b91529
1419c22a35764
15cc63de916c
hex72d1ba9bbc

493144939452 has 192 divisors, whose sum is σ = 1351437373440. Its totient is φ = 139611890880.

The previous prime is 493144939451. The next prime is 493144939453. The reversal of 493144939452 is 254939441394.

It is an interprime number because it is at equal distance from previous prime (493144939451) and next prime (493144939453).

It is a junction number, because it is equal to n+sod(n) for n = 493144939392 and 493144939401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493144939451) 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 63 ways as a sum of consecutive naturals, for example, 15780699 + ... + 15811917.

It is an arithmetic number, because the mean of its divisors is an integer number (7038736320).

Almost surely, 2493144939452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493144939452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675718686720).

493144939452 is an abundant number, since it is smaller than the sum of its proper divisors (858292433988).

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

493144939452 is a wasteful number, since it uses less digits than its factorization.

493144939452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31325 (or 31301 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

The spelling of 493144939452 in words is "four hundred ninety-three billion, one hundred forty-four million, nine hundred thirty-nine thousand, four hundred fifty-two".