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68532433200 = 2432527111714543
BaseRepresentation
bin111111110100110110…
…011111000100110000
320112220010212022200200
4333310312133010300
52110323300330300
651252223515200
74644204033150
oct776466370460
9215803768620
1068532433200
1127078854450
1211347458b00
13660239ca2a
143461b56760
151bb1871200
hexff4d9f130

68532433200 has 720 divisors, whose sum is σ = 313974475776. Its totient is φ = 13401907200.

The previous prime is 68532433169. The next prime is 68532433247. The reversal of 68532433200 is 233423586.

It is a happy number.

68532433200 is a `hidden beast` number, since 6 + 8 + 5 + 324 + 3 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4705129 + ... + 4719671.

Almost surely, 268532433200 is an apocalyptic number.

68532433200 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 68532433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156987237888).

68532433200 is an abundant number, since it is smaller than the sum of its proper divisors (245442042576).

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

68532433200 is a wasteful number, since it uses less digits than its factorization.

68532433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 68532433200 its reverse (233423586), we get a palindrome (68765856786).

The spelling of 68532433200 in words is "sixty-eight billion, five hundred thirty-two million, four hundred thirty-three thousand, two hundred".