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11382450467040 = 253456127153129
BaseRepresentation
bin1010010110100010111011…
…1010101011000011100000
31111022011002112200101220000
42211220232322223003200
52442442224304421130
640113005304220000
72253232506415242
oct245505672530340
944264075611800
1011382450467040
1136992a7604464
121339bb376a600
1364748bc63263
142b4cb0a8c092
1514b13c52b260
hexa5a2eeab0e0

11382450467040 has 480 divisors, whose sum is σ = 40980530828160. Its totient is φ = 2974487961600.

The previous prime is 11382450467033. The next prime is 11382450467041. The reversal of 11382450467040 is 4076405428311.

11382450467040 is a `hidden beast` number, since 1 + 1 + 3 + 82 + 4 + 504 + 67 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×113824504670402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382450467041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214215196 + ... + 214268324.

It is an arithmetic number, because the mean of its divisors is an integer number (85376105892).

Almost surely, 211382450467040 is an apocalyptic number.

11382450467040 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 11382450467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490265414080).

11382450467040 is an abundant number, since it is smaller than the sum of its proper divisors (29598080361120).

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

11382450467040 is a wasteful number, since it uses less digits than its factorization.

11382450467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53488 (or 53471 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 11382450467040 in words is "eleven trillion, three hundred eighty-two billion, four hundred fifty million, four hundred sixty-seven thousand, forty".