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1294426990800 = 243352193621007
BaseRepresentation
bin10010110101100001110…
…111000110100011010000
311120202010211202020211000
4102311201313012203100
5132201441302201200
62430352422422000
7162343051611216
oct22654167064320
94522124666730
101294426990800
11459a66321969
1218aa50b91900
13950aa630368
1446917368cb6
1523a0ea33300
hex12d61dc68d0

1294426990800 has 240 divisors, whose sum is σ = 4631080218880. Its totient is φ = 343391477760.

The previous prime is 1294426990733. The next prime is 1294426990807. The reversal of 1294426990800 is 80996244921.

1294426990800 is a `hidden beast` number, since 1 + 294 + 4 + 269 + 90 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294426990807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1773897 + ... + 2394903.

Almost surely, 21294426990800 is an apocalyptic number.

1294426990800 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 1294426990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315540109440).

1294426990800 is an abundant number, since it is smaller than the sum of its proper divisors (3336653228080).

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

1294426990800 is a wasteful number, since it uses less digits than its factorization.

1294426990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621227 (or 621210 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1294426990800 in words is "one trillion, two hundred ninety-four billion, four hundred twenty-six million, nine hundred ninety thousand, eight hundred".