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16668153120 = 2535417179151
BaseRepresentation
bin11111000010111111…
…11101010100100000
31121000122001220120110
433201133331110200
5233114021344440
611353544211320
71130023651413
oct174137752440
947018056513
1016668153120
117083813163
123292169b40
131758324ac8
14b419b9b7a
156784c7080
hex3e17fd520

16668153120 has 384 divisors, whose sum is σ = 55599022080. Its totient is φ = 4193280000.

The previous prime is 16668153113. The next prime is 16668153121. The reversal of 16668153120 is 2135186661.

It is not an unprimeable number, because it can be changed into a prime (16668153121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110385045 + ... + 110385195.

It is an arithmetic number, because the mean of its divisors is an integer number (144789120).

Almost surely, 216668153120 is an apocalyptic number.

16668153120 is a gapful number since it is divisible by the number (10) 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 16668153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799511040).

16668153120 is an abundant number, since it is smaller than the sum of its proper divisors (38930868960).

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

16668153120 is a wasteful number, since it uses less digits than its factorization.

16668153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 16668153120 in words is "sixteen billion, six hundred sixty-eight million, one hundred fifty-three thousand, one hundred twenty".