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1041662426112 = 21034711433793
BaseRepresentation
bin11110010100001111110…
…10110011110000000000
310200120201020121221220000
433022013322303300000
5114031311040113422
62114311052520000
7135154236350130
oct17120772636000
93616636557800
101041662426112
11371848313310
12149a6a780000
13772c78a0199
14385b9718ac0
151c16917dcac
hexf287eb3c00

1041662426112 has 880 divisors, whose sum is σ = 3969396195072. Its totient is φ = 264199864320.

The previous prime is 1041662426093. The next prime is 1041662426141. The reversal of 1041662426112 is 2116242661401.

1041662426112 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 624 + 26 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 274625688 + ... + 274629480.

Almost surely, 21041662426112 is an apocalyptic number.

1041662426112 is a gapful number since it is divisible by the number (12) 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 1041662426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984698097536).

1041662426112 is an abundant number, since it is smaller than the sum of its proper divisors (2927733768960).

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

1041662426112 is a wasteful number, since it uses less digits than its factorization.

1041662426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1041662426112 in words is "one trillion, forty-one billion, six hundred sixty-two million, four hundred twenty-six thousand, one hundred twelve".