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348964284964932 = 22327132113167434209
BaseRepresentation
bin100111101011000011001010…
…0001111101010000001000100
31200202120122211000112122212100
41033112012110033222001010
5331214412323422334212
63234103551313552100
7133334560202524410
oct11726062417520104
91622518730478770
10348964284964932
11a1210a1642320a
123317b748b75630
1311c94263463900
146225d6655bd40
152a52566534bdc
hex13d61943ea044

348964284964932 has 432 divisors, whose sum is σ = 1107889441102080. Its totient is φ = 90673634967552.

The previous prime is 348964284964921. The next prime is 348964284964937. The reversal of 348964284964932 is 239469482469843.

348964284964932 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 6 + 42 + 84 + 9 + 6 + 493 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (348964284964937) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 803461044 + ... + 803895252.

It is an arithmetic number, because the mean of its divisors is an integer number (2564558891440).

Almost surely, 2348964284964932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348964284964932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553944720551040).

348964284964932 is an abundant number, since it is smaller than the sum of its proper divisors (758925156137148).

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

348964284964932 is a wasteful number, since it uses less digits than its factorization.

348964284964932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434532 (or 434514 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 81.

The spelling of 348964284964932 in words is "three hundred forty-eight trillion, nine hundred sixty-four billion, two hundred eighty-four million, nine hundred sixty-four thousand, nine hundred thirty-two".