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102427506720000 = 283454721123143
BaseRepresentation
bin10111010010100001000011…
…001001110011110100000000
3111102122222022001110220110000
4113102201003021303310000
5101411133013210020000
61001502314052240000
730401100046620300
oct2722410311636400
9442588261426400
10102427506720000
112a70029729a200
12b5a3178910000
13451cb45994c17
141b41736acb600
15bc9593e70000
hex5d2843273d00

102427506720000 has 8100 divisors, whose sum is σ = 515449895334528. Its totient is φ = 20118067200000.

The previous prime is 102427506719959. The next prime is 102427506720017. The reversal of 102427506720000 is 27605724201.

It is a happy number.

102427506720000 is a `hidden beast` number, since 102 + 4 + 27 + 506 + 7 + 20 + 0 + 0 + 0 = 666.

102427506720000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8100).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 899 ways as a sum of consecutive naturals, for example, 2382035039979 + ... + 2382035040021.

Almost surely, 2102427506720000 is an apocalyptic number.

102427506720000 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 102427506720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257724947667264).

102427506720000 is an abundant number, since it is smaller than the sum of its proper divisors (413022388614528).

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

102427506720000 is an equidigital number, since it uses as much as digits as its factorization.

102427506720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 102427506720000 in words is "one hundred two trillion, four hundred twenty-seven billion, five hundred six million, seven hundred twenty thousand".