Search a number
-
+
53317680000 = 273541323743
BaseRepresentation
bin110001101001111110…
…110011101110000000
312002121210121202222220
4301221332303232000
51333143311230000
640254354531040
73565155542124
oct615176635600
9162553552886
1053317680000
1120680493152
12a3bbb96a80
1350492024a0
14281b1cd584
1515c0c8b1a0
hexc69fb3b80

53317680000 has 640 divisors, whose sum is σ = 199142254080. Its totient is φ = 12536832000.

The previous prime is 53317679993. The next prime is 53317680019. The reversal of 53317680000 is 8671335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71759629 + ... + 71760371.

It is an arithmetic number, because the mean of its divisors is an integer number (311159772).

Almost surely, 253317680000 is an apocalyptic number.

53317680000 is a gapful number since it is divisible by the number (50) 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 53317680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99571127040).

53317680000 is an abundant number, since it is smaller than the sum of its proper divisors (145824574080).

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

53317680000 is a wasteful number, since it uses less digits than its factorization.

53317680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 53317680000 in words is "fifty-three billion, three hundred seventeen million, six hundred eighty thousand".