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107513547927552 = 212351323311931
BaseRepresentation
bin11000011100100001110010…
…110101010011000000000000
3112002200012021000022020200000
4120130201302311103000000
5103043000221232140202
61020355013030400000
731434411641600154
oct3034416265230000
9462605230266600
10107513547927552
113129126aa29458
1210084a19800000
1347cb63a657100
141c7997d6a7064
15c66a1a1d791c
hex61c872d53000

107513547927552 has 936 divisors, whose sum is σ = 349973052182208. Its totient is φ = 32964068966400.

The previous prime is 107513547927517. The next prime is 107513547927661. The reversal of 107513547927552 is 255729745315701.

107513547927552 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 1 + 3 + 5 + 4 + 79 + 2 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a self number, because there is not a number n which added to its sum of digits gives 107513547927552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55677652027 + ... + 55677653957.

It is an arithmetic number, because the mean of its divisors is an integer number (373902833528).

Almost surely, 2107513547927552 is an apocalyptic number.

107513547927552 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 107513547927552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174986526091104).

107513547927552 is an abundant number, since it is smaller than the sum of its proper divisors (242459504254656).

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

107513547927552 is an equidigital number, since it uses as much as digits as its factorization.

107513547927552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 92610000, while the sum is 63.

The spelling of 107513547927552 in words is "one hundred seven trillion, five hundred thirteen billion, five hundred forty-seven million, nine hundred twenty-seven thousand, five hundred fifty-two".