Search a number
-
+
68335503600 = 243527134115263
BaseRepresentation
bin111111101001000111…
…010000100011110000
320112101102022021001210
4333221013100203300
52104422342103400
651220511000120
74636263124320
oct775107204360
9215342267053
1068335503600
1126a87679311
12112b1509040
1365a064c140
143443933280
151b9e421950
hexfe91d08f0

68335503600 has 480 divisors, whose sum is σ = 276006334464. Its totient is φ = 14065459200.

The previous prime is 68335503553. The next prime is 68335503623. The reversal of 68335503600 is 630553386.

68335503600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×683355036002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4469569 + ... + 4484831.

Almost surely, 268335503600 is an apocalyptic number.

68335503600 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 68335503600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138003167232).

68335503600 is an abundant number, since it is smaller than the sum of its proper divisors (207670830864).

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

68335503600 is a wasteful number, since it uses less digits than its factorization.

68335503600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 68335503600 in words is "sixty-eight billion, three hundred thirty-five million, five hundred three thousand, six hundred".