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330343695220896 = 253371910926373887
BaseRepresentation
bin100101100011100100010001…
…0100110111000000010100000
31121022122112211002211120201000
41023013020202212320002200
5321244322341434032041
63130325444252512000
7126403354502303340
oct11307104246700240
91538575732746630
10330343695220896
1196291a79a00a85
12310729a317b600
131124337a164756
145b80a1218ad20
15282cee6dedbb6
hex12c72229b80a0

330343695220896 has 384 divisors, whose sum is σ = 1169734680576000. Its totient is φ = 88596001815552.

The previous prime is 330343695220849. The next prime is 330343695220933. The reversal of 330343695220896 is 698022596343033.

It is a happy number.

330343695220896 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 43 + 69 + 522 + 0 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661536 + ... + 25712351.

It is an arithmetic number, because the mean of its divisors is an integer number (3046184064000).

Almost surely, 2330343695220896 is an apocalyptic number.

330343695220896 is a gapful number since it is divisible by the number (36) 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 330343695220896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584867340288000).

330343695220896 is an abundant number, since it is smaller than the sum of its proper divisors (839390985355104).

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

330343695220896 is a wasteful number, since it uses less digits than its factorization.

330343695220896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26374041 (or 26374027 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 330343695220896 in words is "three hundred thirty trillion, three hundred forty-three billion, six hundred ninety-five million, two hundred twenty thousand, eight hundred ninety-six".