Search a number
-
+
53341429680 = 243257113141757
BaseRepresentation
bin110001101011011001…
…011001111110110000
312002200110022101102200
4301223121121332300
51333220401222210
640301003543200
73565564446150
oct615331317660
9162613271380
1053341429680
1120692934690
12a407b2ab00
1350510c9556
142820412760
1515c2dcd0c0
hexc6b659fb0

53341429680 has 960 divisors, whose sum is σ = 236480864256. Its totient is φ = 10450944000.

The previous prime is 53341429627. The next prime is 53341429681. The reversal of 53341429680 is 8692414335.

53341429680 is a `hidden beast` number, since 533 + 4 + 14 + 29 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53341429681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70463862 + ... + 70464618.

Almost surely, 253341429680 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 53341429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118240432128).

53341429680 is an abundant number, since it is smaller than the sum of its proper divisors (183139434576).

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

53341429680 is a wasteful number, since it uses less digits than its factorization.

53341429680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 53341429680 in words is "fifty-three billion, three hundred forty-one million, four hundred twenty-nine thousand, six hundred eighty".