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1027038801696 = 25310698320851
BaseRepresentation
bin11101111001000000100…
…10000110111100100000
310122011222002200212102220
432330200102012330200
5113311333413123241
62103452021511040
7134125656526455
oct16744022067440
93564862625386
101027038801696
113666236a08a6
12147069272480
1375b0701369b
14379cd4a982c
151bab0413166
hexef20486f20

1027038801696 has 24 divisors (see below), whose sum is σ = 2695976854704. Its totient is φ = 342346267200.

The previous prime is 1027038801673. The next prime is 1027038801731. The reversal of 1027038801696 is 6961088307201.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10270388016962 (a number of 25 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 5349160330 + ... + 5349160521.

It is an arithmetic number, because the mean of its divisors is an integer number (112332368946).

Almost surely, 21027038801696 is an apocalyptic number.

1027038801696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1027038801696 is an abundant number, since it is smaller than the sum of its proper divisors (1668938053008).

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

1027038801696 is a wasteful number, since it uses less digits than its factorization.

1027038801696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698320864 (or 10698320856 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1027038801696 in words is "one trillion, twenty-seven billion, thirty-eight million, eight hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10698320851 21396641702 32094962553 42793283404 64189925106 85586566808 128379850212 171173133616 256759700424 342346267232 513519400848 1027038801696