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10320195143808 = 2732113156346663
BaseRepresentation
bin1001011000101101101110…
…0100001100100010000000
31100112121020010212212210200
42112023123210030202000
52323041224424100213
633541010542125200
72113416025224144
oct226133344144200
940477203785720
1010320195143808
113319852125810
1211a8158580800
1359b261c08864
14279700433224
1512d6ba568273
hex962db90c880

10320195143808 has 384 divisors, whose sum is σ = 33502392668160. Its totient is φ = 3021009868800.

The previous prime is 10320195143779. The next prime is 10320195143833. The reversal of 10320195143808 is 80834159102301.

10320195143808 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 195 + 1 + 438 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 221141085 + ... + 221187747.

It is an arithmetic number, because the mean of its divisors is an integer number (87245814240).

Almost surely, 210320195143808 is an apocalyptic number.

10320195143808 is a gapful number since it is divisible by the number (18) 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 10320195143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751196334080).

10320195143808 is an abundant number, since it is smaller than the sum of its proper divisors (23182197524352).

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

10320195143808 is a wasteful number, since it uses less digits than its factorization.

10320195143808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47288 (or 47273 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10320195143808 in words is "ten trillion, three hundred twenty billion, one hundred ninety-five million, one hundred forty-three thousand, eight hundred eight".