Search a number
-
+
51723360000 = 28345413307
BaseRepresentation
bin110000001010111100…
…111101011100000000
311221111200121221010000
4300022330331130000
51321412140010000
635432243040000
73510516206634
oct601274753400
9157450557100
1051723360000
111aa32540a14
12a036070000
134b53b07b80
142709576dc4
15152ad10000
hexc0af3d700

51723360000 has 900 divisors, whose sum is σ = 208226527432. Its totient is φ = 12690432000.

The previous prime is 51723359999. The next prime is 51723360023. The reversal of 51723360000 is 6332715.

It is a happy number.

51723360000 is a `hidden beast` number, since 51 + 7 + 2 + 3 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 168479847 + ... + 168480153.

Almost surely, 251723360000 is an apocalyptic number.

51723360000 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 51723360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104113263716).

51723360000 is an abundant number, since it is smaller than the sum of its proper divisors (156503167432).

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

51723360000 is an equidigital number, since it uses as much as digits as its factorization.

51723360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 51723360000 its reverse (6332715), we get a palindrome (51729692715).

The spelling of 51723360000 in words is "fifty-one billion, seven hundred twenty-three million, three hundred sixty thousand".