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5334863368320 = 27355316071823
BaseRepresentation
bin100110110100001111010…
…1000101101000010000000
3200220000012210121202200000
41031220132220231002000
51144401300010241240
615202445152400000
71060300613266653
oct115503650550200
920800183552600
105334863368320
111777559323452
12721b22b46000
132c90c9a186a5
141462ccbc989a
1593b8a972430
hex4da1ea2d080

5334863368320 has 768 divisors, whose sum is σ = 19763834388480. Its totient is φ = 1373716869120.

The previous prime is 5334863368291. The next prime is 5334863368321. The reversal of 5334863368320 is 238633684335.

5334863368320 is a `hidden beast` number, since 5 + 33 + 486 + 3 + 36 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5334863368321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2926418929 + ... + 2926420751.

It is an arithmetic number, because the mean of its divisors is an integer number (25734159360).

Almost surely, 25334863368320 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 5334863368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881917194240).

5334863368320 is an abundant number, since it is smaller than the sum of its proper divisors (14428971020160).

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

5334863368320 is a wasteful number, since it uses less digits than its factorization.

5334863368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 5334863368320 in words is "five trillion, three hundred thirty-four billion, eight hundred sixty-three million, three hundred sixty-eight thousand, three hundred twenty".