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108874067328 = 2734133171367
BaseRepresentation
bin110010101100101100…
…1100110110110000000
3101102000121202200010000
41211121121212312000
53240433230123303
6122003245040000
710603000205625
oct1453131466600
9342017680100
10108874067328
114219a633244
1219125856000
13a361169660
1453ab85434c
152c7333cda3
hex1959666d80

108874067328 has 640 divisors, whose sum is σ = 366255267840. Its totient is φ = 31875379200.

The previous prime is 108874067227. The next prime is 108874067339. The reversal of 108874067328 is 823760478801.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 296659401 + ... + 296659767.

It is an arithmetic number, because the mean of its divisors is an integer number (572273856).

Almost surely, 2108874067328 is an apocalyptic number.

108874067328 is a gapful number since it is divisible by the number (18) 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 108874067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183127633920).

108874067328 is an abundant number, since it is smaller than the sum of its proper divisors (257381200512).

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

108874067328 is a wasteful number, since it uses less digits than its factorization.

108874067328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 108874067328 in words is "one hundred eight billion, eight hundred seventy-four million, sixty-seven thousand, three hundred twenty-eight".