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10270084597920 = 25325710121147809
BaseRepresentation
bin1001010101110011000010…
…1111101000100010100000
31100100210212212001101201200
42111130300233220202200
52321231113124113140
633502002311201200
72106663161504160
oct225346057504240
940323785041650
1010270084597920
1132aa578018a24
12119a4b2676200
135966072a2184
142771091685a0
1512c236139030
hex95730be88a0

10270084597920 has 576 divisors, whose sum is σ = 40642453313280. Its totient is φ = 2313142272000.

The previous prime is 10270084597901. The next prime is 10270084597921. The reversal of 10270084597920 is 2979548007201.

10270084597920 is a `hidden beast` number, since 1 + 0 + 27 + 0 + 0 + 8 + 4 + 597 + 9 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (10270084597921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 214790976 + ... + 214838784.

It is an arithmetic number, because the mean of its divisors is an integer number (70559814780).

Almost surely, 210270084597920 is an apocalyptic number.

10270084597920 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 10270084597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321226656640).

10270084597920 is an abundant number, since it is smaller than the sum of its proper divisors (30372368715360).

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

10270084597920 is a wasteful number, since it uses less digits than its factorization.

10270084597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48149 (or 48138 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10270084597920 in words is "ten trillion, two hundred seventy billion, eighty-four million, five hundred ninety-seven thousand, nine hundred twenty".