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10993482630000 = 2432541338324533
BaseRepresentation
bin1001111111111001111010…
…1000001000001101110000
31102220222002201001222102100
42133332132220020031300
52420104123023130000
635214200341420400
72213152514354523
oct237763650101560
942828081058370
1010993482630000
113559345388412
12129673b10a700
136198b1100bc0
142a0131b6cbba
15140e74426a00
hex9ff9ea08370

10993482630000 has 600 divisors, whose sum is σ = 41512960000512. Its totient is φ = 2698912512000.

The previous prime is 10993482629959. The next prime is 10993482630001. The reversal of 10993482630000 is 3628439901.

It is a happy number.

10993482630000 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 3 + 4 + 8 + 2 + 630 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×109934826300002 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (10993482630001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 448097734 + ... + 448122266.

Almost surely, 210993482630000 is an apocalyptic number.

10993482630000 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 10993482630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756480000256).

10993482630000 is an abundant number, since it is smaller than the sum of its proper divisors (30519477370512).

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

10993482630000 is a wasteful number, since it uses less digits than its factorization.

10993482630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24963 (or 24939 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10993482630000 in words is "ten trillion, nine hundred ninety-three billion, four hundred eighty-two million, six hundred thirty thousand".