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10545634005984 = 25327111953736469
BaseRepresentation
bin1001100101110101100011…
…0001001101001111100000
31101100011010100212122211200
42121131120301031033200
52340234424301142414
634232333011241200
72135616433023120
oct231353061151740
941304110778750
1010545634005984
1133a6418521650
1212239935a9200
135b65ab65b4ac
142865a8c9ac80
151344b1e9d109
hex99758c4d3e0

10545634005984 has 1152 divisors, whose sum is σ = 40655086617600. Its totient is φ = 2510734786560.

The previous prime is 10545634005971. The next prime is 10545634005997. The reversal of 10545634005984 is 48950043654501.

10545634005984 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 6 + 3 + 40 + 0 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10545634005971) and next prime (10545634005997).

It is a super-2 number, since 2×105456340059842 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10545634005984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1630176702 + ... + 1630183170.

It is an arithmetic number, because the mean of its divisors is an integer number (35290873800).

Almost surely, 210545634005984 is an apocalyptic number.

10545634005984 is a gapful number since it is divisible by the number (14) 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 10545634005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327543308800).

10545634005984 is an abundant number, since it is smaller than the sum of its proper divisors (30109452611616).

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

10545634005984 is a wasteful number, since it uses less digits than its factorization.

10545634005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 10545634005984 in words is "ten trillion, five hundred forty-five billion, six hundred thirty-four million, five thousand, nine hundred eighty-four".