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1011328770816 = 283271331155599
BaseRepresentation
bin11101011011101111110…
…01000110001100000000
310120200102020111121111100
432231313321012030000
5113032200131131231
62052333101214400
7133031445500250
oct16556771061400
93520366447440
101011328770816
1135a9a17a9101
12144003b61400
13744a2355620
1436d3cc59960
151b4910e91e6
hexeb77e46300

1011328770816 has 432 divisors, whose sum is σ = 3704604467200. Its totient is φ = 258118410240.

The previous prime is 1011328770791. The next prime is 1011328770833. The reversal of 1011328770816 is 6180778231101.

1011328770816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6421785 + ... + 6577383.

Almost surely, 21011328770816 is an apocalyptic number.

1011328770816 is a gapful number since it is divisible by the number (16) 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 1011328770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852302233600).

1011328770816 is an abundant number, since it is smaller than the sum of its proper divisors (2693275696384).

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

1011328770816 is a wasteful number, since it uses less digits than its factorization.

1011328770816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155672 (or 155655 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 1011328770816 in words is "one trillion, eleven billion, three hundred twenty-eight million, seven hundred seventy thousand, eight hundred sixteen".