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1012162450080 = 253567283111211
BaseRepresentation
bin11101011101010011001…
…01010101001010100000
310120202120100012220110010
432232221211111022200
5113040402041400310
62052551522004520
7133061220605115
oct16565145251240
93522510186403
101012162450080
1136028a352731
121441b71a6740
13745a5c9b072
1436dbb87090c
151b4de3c5320
hexeba99552a0

1012162450080 has 192 divisors, whose sum is σ = 3247361929728. Its totient is φ = 264939586560.

The previous prime is 1012162450069. The next prime is 1012162450121. The reversal of 1012162450080 is 800542612101.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 9045675 + ... + 9156885.

It is an arithmetic number, because the mean of its divisors is an integer number (16913343384).

Almost surely, 21012162450080 is an apocalyptic number.

1012162450080 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 1012162450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623680964864).

1012162450080 is an abundant number, since it is smaller than the sum of its proper divisors (2235199479648).

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

1012162450080 is a wasteful number, since it uses less digits than its factorization.

1012162450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111579 (or 111571 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 1012162450080 in words is "one trillion, twelve billion, one hundred sixty-two million, four hundred fifty thousand, eighty".