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1016908345728 = 273311172337432
BaseRepresentation
bin11101100110001000111…
…01011111000110000000
310121012211002110101101000
432303010131133012000
5113130112014030403
62055054455012000
7133316636214432
oct16630435370600
93535732411330
101016908345728
113622a5283340
1214510066a000
1374b812ab042
143730bca8652
151b6bad867a3
hexecc475f180

1016908345728 has 1536 divisors, whose sum is σ = 3803639731200. Its totient is φ = 263642480640.

The previous prime is 1016908345669. The next prime is 1016908345793. The reversal of 1016908345728 is 8275438096101.

1016908345728 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 90 + 83 + 457 + 28 = 666.

It is a super-2 number, since 2×10169083457282 (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23649031275 + ... + 23649031317.

It is an arithmetic number, because the mean of its divisors is an integer number (2476327950).

It is a 1-persistent number, because it is pandigital, but 2⋅1016908345728 = 2033816691456 is not.

Almost surely, 21016908345728 is an apocalyptic number.

1016908345728 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 1016908345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901819865600).

1016908345728 is an abundant number, since it is smaller than the sum of its proper divisors (2786731385472).

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

1016908345728 is a wasteful number, since it uses less digits than its factorization.

1016908345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1016908345728 in words is "one trillion, sixteen billion, nine hundred eight million, three hundred forty-five thousand, seven hundred twenty-eight".