Search a number
-
+
68263793280 = 273955419
BaseRepresentation
bin111111100100110101…
…101101001010000000
320112012102101000000000
4333210311231022000
52104301012341110
651205430000000
74634432445324
oct774465551200
9215172330000
1068263793280
1126a5014a291
12112914a6000
13658b831cb7
1434381c7984
151b97ea91c0
hexfe4d6d280

68263793280 has 320 divisors, whose sum is σ = 244830722400. Its totient is φ = 18200318976.

The previous prime is 68263793261. The next prime is 68263793281. The reversal of 68263793280 is 8239736286.

It is a happy number.

68263793280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68263793281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12594411 + ... + 12599829.

Almost surely, 268263793280 is an apocalyptic number.

68263793280 is a gapful number since it is divisible by the number (60) 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 68263793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122415361200).

68263793280 is an abundant number, since it is smaller than the sum of its proper divisors (176566929120).

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

68263793280 is an frugal number, since it uses more digits than its factorization.

68263793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 68263793280 in words is "sixty-eight billion, two hundred sixty-three million, seven hundred ninety-three thousand, two hundred eighty".