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5353339680 = 25335131929173
BaseRepresentation
bin1001111110001010…
…10111101100100000
3111211002020211111000
410333011113230200
541430423332210
62243112352000
7246442431213
oct47705275440
914732224430
105353339680
1122a7903377
1210549a5600
13674113c20
1438ad9b77a
15214e9eac0
hex13f157b20

5353339680 has 768 divisors, whose sum is σ = 22099392000. Its totient is φ = 1198374912.

The previous prime is 5353339637. The next prime is 5353339703. The reversal of 5353339680 is 869333535.

5353339680 is a `hidden beast` number, since 5 + 3 + 533 + 39 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 30944074 + ... + 30944246.

It is an arithmetic number, because the mean of its divisors is an integer number (28775250).

Almost surely, 25353339680 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 5353339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049696000).

5353339680 is an abundant number, since it is smaller than the sum of its proper divisors (16746052320).

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

5353339680 is a wasteful number, since it uses less digits than its factorization.

5353339680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The square root of 5353339680 is about 73166.5202124578. The cubic root of 5353339680 is about 1749.3428476817.

The spelling of 5353339680 in words is "five billion, three hundred fifty-three million, three hundred thirty-nine thousand, six hundred eighty".