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108868322304 = 21032724912
BaseRepresentation
bin110010101100100001…
…1101100010000000000
3101102000012221210102100
41211121003230100000
53240430242303204
6122002521550400
710602600320400
oct1453103542000
9342005853370
10108868322304
1142197369995
1219123945400
13a35cc07731
1453aab9a800
152c72aa5a39
hex19590ec400

108868322304 has 297 divisors, whose sum is σ = 366424448871. Its totient is φ = 31041884160.

The previous prime is 108868322273. The next prime is 108868322323. The reversal of 108868322304 is 403223868801.

The square root of 108868322304 is 329952.

It is a perfect power (a square), and thus also a powerful number.

108868322304 is a `hidden beast` number, since 10 + 8 + 8 + 6 + 8 + 322 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 108868322304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 221727499 + ... + 221727989.

Almost surely, 2108868322304 is an apocalyptic number.

108868322304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

108868322304 is the 329952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108868322304

108868322304 is an abundant number, since it is smaller than the sum of its proper divisors (257556126567).

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

108868322304 is an frugal number, since it uses more digits than its factorization.

108868322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 108868322304 in words is "one hundred eight billion, eight hundred sixty-eight million, three hundred twenty-two thousand, three hundred four".